970757172 has 144 divisors (see below), whose sum is σ = 3110050944. Its totient is φ = 247968000.

The previous prime is 970757141. The next prime is 970757173. The reversal of 970757172 is 271757079.

970757172 is a `hidden beast` number, since 9 + 7 + 0 + 7 + 571 + 72 = 666.

970757172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970757173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166222 + ... + 171962.

It is an arithmetic number, because the mean of its divisors is an integer number (21597576).

Almost surely, 2^970757172 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 970757172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555025472).

970757172 is an abundant number, since it is smaller than the sum of its proper divisors (2139293772).

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

970757172 is a wasteful number, since it uses less digits than its factorization.

970757172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 216090, while the sum is 45.

The square root of 970757172 is about 31156.9762974522. The cubic root of 970757172 is about 990.1558003956.

The spelling of 970757172 in words is "nine hundred seventy million, seven hundred fifty-seven thousand, one hundred seventy-two".