972711936 has 288 divisors, whose sum is σ = 3361176000. Its totient is φ = 277143552.

The previous prime is 972711871. The next prime is 972711941. The reversal of 972711936 is 639117279.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 972711891 and 972711900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709325 + ... + 2709683.

It is an arithmetic number, because the mean of its divisors is an integer number (11670750).

Almost surely, 2^972711936 is an apocalyptic number.

972711936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972711936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680588000).

972711936 is an abundant number, since it is smaller than the sum of its proper divisors (2388464064).

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

972711936 is a wasteful number, since it uses less digits than its factorization.

972711936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 371 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 972711936 is about 31188.3301252247. The cubic root of 972711936 is about 990.8199634726.

The spelling of 972711936 in words is "nine hundred seventy-two million, seven hundred eleven thousand, nine hundred thirty-six".