970933152 has 96 divisors (see below), whose sum is σ = 2918788992. Its totient is φ = 276839424.

The previous prime is 970933141. The next prime is 970933153. The reversal of 970933152 is 251339079.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×970933152² = 1885422371305310208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 970933152.

It is not an unprimeable number, because it can be changed into a prime (970933153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410758 + ... + 413114.

It is an arithmetic number, because the mean of its divisors is an integer number (30404052).

Almost surely, 2^970933152 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 970933152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459394496).

970933152 is an abundant number, since it is smaller than the sum of its proper divisors (1947855840).

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

970933152 is a wasteful number, since it uses less digits than its factorization.

970933152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 970933152 is about 31159.8002560992. The cubic root of 970933152 is about 990.2156289825.

The spelling of 970933152 in words is "nine hundred seventy million, nine hundred thirty-three thousand, one hundred fifty-two".