972507624 has 32 divisors (see below), whose sum is σ = 2652294240. Its totient is φ = 294699200.

The previous prime is 972507623. The next prime is 972507631. The reversal of 972507624 is 426705279.

It is not an unprimeable number, because it can be changed into a prime (972507623) 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, 1841607 + ... + 1842134.

It is an arithmetic number, because the mean of its divisors is an integer number (82884195).

Almost surely, 2^972507624 is an apocalyptic number.

It is an amenable number.

972507624 is an abundant number, since it is smaller than the sum of its proper divisors (1679786616).

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

972507624 is a wasteful number, since it uses less digits than its factorization.

972507624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683761 (or 3683757 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 972507624 is about 31185.0544973069. The cubic root of 972507624 is about 990.7505867894.

The spelling of 972507624 in words is "nine hundred seventy-two million, five hundred seven thousand, six hundred twenty-four".