972546500 has 24 divisors (see below), whose sum is σ = 2124042648. Its totient is φ = 389018400.

The previous prime is 972546499. The next prime is 972546529. The reversal of 972546500 is 5645279.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 263283076 + 709263424 = 16226^2 + 26632^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 972047 + ... + 973046.

It is an arithmetic number, because the mean of its divisors is an integer number (88501777).

Almost surely, 2^972546500 is an apocalyptic number.

It is an amenable number.

972546500 is an abundant number, since it is smaller than the sum of its proper divisors (1151496148).

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

972546500 is a wasteful number, since it uses less digits than its factorization.

972546500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945112 (or 1945100 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 972546500 is about 31185.6778024785. The cubic root of 972546500 is about 990.7637883677.

The spelling of 972546500 in words is "nine hundred seventy-two million, five hundred forty-six thousand, five hundred".