20301 has 8 divisors (see below), whose sum is σ = 27744. Its totient is φ = 13200.

The previous prime is 20297. The next prime is 20323. The reversal of 20301 is 10302.

20301 is a nontrivial binomial coefficient, being equal to C(202, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 20301 - 2^{2} = 20297 is a prime.

It is an Ulam number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 20301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151 + ... + 251.

It is an arithmetic number, because the mean of its divisors is an integer number (3468).

2^{20301} is an apocalyptic number.

20301 is the 201-st triangular number and also the 101-st hexagonal number.

It is an amenable number.

20301 is a deficient number, since it is larger than the sum of its proper divisors (7443).

20301 is a wasteful number, since it uses less digits than its factorization.

20301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171.

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 20301 is about 142.4815777566. The cubic root of 20301 is about 27.2796719688.

Adding to 20301 its reverse (10302), we get a palindrome (30603).

Subtracting from 20301 its reverse (10302), we obtain a palindrome (9999).

The spelling of 20301 in words is "twenty thousand, three hundred one", and thus it is an iban number.

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