97607952 has 120 divisors (see below), whose sum is σ = 307105344. Its totient is φ = 28714752.

The previous prime is 97607947. The next prime is 97607953. The reversal of 97607952 is 25970679.

It is a junction number, because it is equal to n+sod(n) for n = 97607898 and 97607907.

It is not an unprimeable number, because it can be changed into a prime (97607953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41923 + ... + 44189.

Almost surely, 2^97607952 is an apocalyptic number.

97607952 is a gapful number since it is divisible by the number (92) 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 97607952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672).

97607952 is an abundant number, since it is smaller than the sum of its proper divisors (209497392).

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

97607952 is a wasteful number, since it uses less digits than its factorization.

97607952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 97607952 is about 9879.6736788216. The cubic root of 97607952 is about 460.4280074337.

The spelling of 97607952 in words is "ninety-seven million, six hundred seven thousand, nine hundred fifty-two".