972386352 has 120 divisors (see below), whose sum is σ = 3149719040. Its totient is φ = 274285440.

The previous prime is 972386339. The next prime is 972386369. The reversal of 972386352 is 253683279.

972386352 is a `hidden beast` number, since 9 + 7 + 2 + 3 + 8 + 635 + 2 = 666.

972386352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×972386352³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 972386298 and 972386307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73527 + ... + 85737.

Almost surely, 2^972386352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972386352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574859520).

972386352 is an abundant number, since it is smaller than the sum of its proper divisors (2177332688).

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

972386352 is a wasteful number, since it uses less digits than its factorization.

972386352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12311 (or 12302 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 972386352 is about 31183.1100437400. The cubic root of 972386352 is about 990.7094027765.

The spelling of 972386352 in words is "nine hundred seventy-two million, three hundred eighty-six thousand, three hundred fifty-two".