972318900 has 144 divisors (see below), whose sum is σ = 3239237120. Its totient is φ = 220579200.

The previous prime is 972318899. The next prime is 972318911. The reversal of 972318900 is 9813279.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290235 + ... + 293565.

Almost surely, 2^972318900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972318900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619618560).

972318900 is an abundant number, since it is smaller than the sum of its proper divisors (2266918220).

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

972318900 is a wasteful number, since it uses less digits than its factorization.

972318900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 972318900 is about 31182.0284779551. The cubic root of 972318900 is about 990.6864945721.

The spelling of 972318900 in words is "nine hundred seventy-two million, three hundred eighteen thousand, nine hundred".