972165492 has 36 divisors (see below), whose sum is σ = 2542159620. Its totient is φ = 312880512.

The previous prime is 972165443. The next prime is 972165497. The reversal of 972165492 is 294561279.

972165492 is a `hidden beast` number, since 97 + 2 + 16 + 549 + 2 = 666.

972165492 is digitally balanced in base 2, 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 2 ways, for example, as 287505936 + 684659556 = 16956^2 + 26166^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972165497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464553 + ... + 466640.

It is an arithmetic number, because the mean of its divisors is an integer number (70615545).

Almost surely, 2^972165492 is an apocalyptic number.

It is an amenable number.

972165492 is an abundant number, since it is smaller than the sum of its proper divisors (1569994128).

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

972165492 is a wasteful number, since it uses less digits than its factorization.

972165492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931232 (or 931227 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 972165492 is about 31179.5685024665. The cubic root of 972165492 is about 990.6343898469.

It can be divided in two parts, 972 and 165492, that added together give a square (166464 = 408²).

The spelling of 972165492 in words is "nine hundred seventy-two million, one hundred sixty-five thousand, four hundred ninety-two".