10972521 has 36 divisors (see below), whose sum is σ = 18673200. Its totient is φ = 6190128.

The previous prime is 10972501. The next prime is 10972561. The reversal of 10972521 is 12527901.

10972521 = 449² + 450² + ... + 497².

10972521 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10972521 - 2⁷ = 10972393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10972501) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61210 + ... + 61388.

It is an arithmetic number, because the mean of its divisors is an integer number (518700).

Almost surely, 2^10972521 is an apocalyptic number.

It is an amenable number.

10972521 is a deficient number, since it is larger than the sum of its proper divisors (7700679).

10972521 is a wasteful number, since it uses less digits than its factorization.

10972521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10972521 is about 3312.4795848428. The cubic root of 10972521 is about 222.2126644871.

It can be divided in two parts, 109725 and 21, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 10972521 in words is "ten million, nine hundred seventy-two thousand, five hundred twenty-one".