972495767104 has 21 divisors (see below), whose sum is σ = 1929811943137. Its totient is φ = 486243938944.

The previous prime is 972495767083. The next prime is 972495767119. The reversal of 972495767104 is 401767594279.

The square root of 972495767104 is 986152.

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., 708546429504 + 263949337600 = 841752^2 + 513760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7827582 + ... + 7950850.

Almost surely, 2^972495767104 is an apocalyptic number.

972495767104 is the 986152-nd square number.

It is an amenable number.

972495767104 is a deficient number, since it is larger than the sum of its proper divisors (957316176033).

972495767104 is an frugal number, since it uses more digits than its factorization.

972495767104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246550 (or 123271 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 61.

The spelling of 972495767104 in words is "nine hundred seventy-two billion, four hundred ninety-five million, seven hundred sixty-seven thousand, one hundred four".