972495767106 has 24 divisors (see below), whose sum is σ = 2107093504620. Its totient is φ = 324162279936.

The previous prime is 972495767083. The next prime is 972495767119. The reversal of 972495767106 is 601767594279.

972495767106 is a `hidden beast` number, since 9 + 7 + 2 + 49 + 576 + 7 + 10 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 892543115025 + 79952652081 = 944745^2 + 282759^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2741046 + ... + 3075438.

Almost surely, 2^972495767106 is an apocalyptic number.

972495767106 is an abundant number, since it is smaller than the sum of its proper divisors (1134597737514).

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

972495767106 is a wasteful number, since it uses less digits than its factorization.

972495767106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495970 (or 495967 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 972495767106 in words is "nine hundred seventy-two billion, four hundred ninety-five million, seven hundred sixty-seven thousand, one hundred six".