972816100 has 27 divisors (see below), whose sum is σ = 2111687977. Its totient is φ = 389001680.

The previous prime is 972816071. The next prime is 972816101. The reversal of 972816100 is 1618279.

It is a happy number.

The square root of 972816100 is 31190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 350213796 + 622602304 = 18714^2 + 24952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972816101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 310341 + ... + 313459.

Almost surely, 2^972816100 is an apocalyptic number.

972816100 is the 31190-th square number.

It is an amenable number.

972816100 is an abundant number, since it is smaller than the sum of its proper divisors (1138871877).

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

972816100 is an equidigital number, since it uses as much as digits as its factorization.

972816100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6252 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The cubic root of 972816100 is about 990.8553299167.

The spelling of 972816100 in words is "nine hundred seventy-two million, eight hundred sixteen thousand, one hundred".