10972585 has 16 divisors (see below), whose sum is σ = 14671440. Its totient is φ = 7822080.

The previous prime is 10972583. The next prime is 10972589. The reversal of 10972585 is 58527901.

10972585 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 23104 + 10949481 = 152^2 + 3309^2 .

It is not a de Polignac number, because 10972585 - 2¹ = 10972583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10972583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1026 + ... + 4795.

It is an arithmetic number, because the mean of its divisors is an integer number (916965).

Almost surely, 2^10972585 is an apocalyptic number.

It is an amenable number.

10972585 is a deficient number, since it is larger than the sum of its proper divisors (3698855).

10972585 is a wasteful number, since it uses less digits than its factorization.

10972585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5868.

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 10972585 is about 3312.4892452656. The cubic root of 10972585 is about 222.2130965234.

The spelling of 10972585 in words is "ten million, nine hundred seventy-two thousand, five hundred eighty-five".