97152692 has 72 divisors (see below), whose sum is σ = 215208000. Its totient is φ = 38342304.

The previous prime is 97152691. The next prime is 97152701. The reversal of 97152692 is 29625179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97152691) 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, 231659 + ... + 232077.

It is an arithmetic number, because the mean of its divisors is an integer number (2989000).

Almost surely, 2^97152692 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 97152692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107604000).

97152692 is an abundant number, since it is smaller than the sum of its proper divisors (118055308).

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

97152692 is a wasteful number, since it uses less digits than its factorization.

97152692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 441 counting only the distinct ones).

The product of its digits is 68040, while the sum is 41.

The square root of 97152692 is about 9856.6065154291. The cubic root of 97152692 is about 459.7110535726.

The spelling of 97152692 in words is "ninety-seven million, one hundred fifty-two thousand, six hundred ninety-two".