972504225 has 243 divisors, whose sum is σ = 2312743251. Its totient is φ = 404157600.

The previous prime is 972504217. The next prime is 972504229. The reversal of 972504225 is 522405279.

It is a happy number.

The square root of 972504225 is 31185.

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., 350101521 + 622402704 = 18711^2 + 24948^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 972504225 - 2³ = 972504217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 972504225.

It is not an unprimeable number, because it can be changed into a prime (972504229) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 88409470 + ... + 88409480.

Almost surely, 2^972504225 is an apocalyptic number.

972504225 is the 31185-th square number.

972504225 is the 15593-rd centered octagonal number.

It is an amenable number.

972504225 is an abundant number, since it is smaller than the sum of its proper divisors (1340239026).

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

972504225 is an equidigital number, since it uses as much as digits as its factorization.

972504225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The cubic root of 972504225 is about 990.7494325345.

Multiplying 972504225 by its sum of digits (36), we get a square (35010152100 = 187110²).

It can be divided in two parts, 97250 and 4225, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 972504225 in words is "nine hundred seventy-two million, five hundred four thousand, two hundred twenty-five".