97580952 has 144 divisors (see below), whose sum is σ = 325713960. Its totient is φ = 26224128.

The previous prime is 97580929. The next prime is 97580953. The reversal of 97580952 is 25908579.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 97580898 and 97580907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97580953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59163 + ... + 60789.

Almost surely, 2^97580952 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 97580952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162856980).

97580952 is an abundant number, since it is smaller than the sum of its proper divisors (228133008).

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

97580952 is a wasteful number, since it uses less digits than its factorization.

97580952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 97580952 is about 9878.3071424207. The cubic root of 97580952 is about 460.3855494768.

The spelling of 97580952 in words is "ninety-seven million, five hundred eighty thousand, nine hundred fifty-two".