20957265 has 64 divisors (see below), whose sum is σ = 43345920. Its totient is φ = 9408960.

The previous prime is 20957263. The next prime is 20957303. The reversal of 20957265 is 56275902.

20957265 is a `hidden beast` number, since 20 + 9 + 572 + 65 = 666.

It is not a de Polignac number, because 20957265 - 2¹ = 20957263 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20957263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63150 + ... + 63480.

It is an arithmetic number, because the mean of its divisors is an integer number (677280).

Almost surely, 2^20957265 is an apocalyptic number.

It is an amenable number.

20957265 is an abundant number, since it is smaller than the sum of its proper divisors (22388655).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20957265 is a wasteful number, since it uses less digits than its factorization.

20957265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 20957265 is about 4577.9105495848. The cubic root of 20957265 is about 275.7051435230.

The spelling of 20957265 in words is "twenty million, nine hundred fifty-seven thousand, two hundred sixty-five".