97858992 has 240 divisors, whose sum is σ = 332478720. Its totient is φ = 24245760.

The previous prime is 97858979. The next prime is 97859009. The reversal of 97858992 is 29985879.

Its product of digits (3265920) is a multiple of the sum of its prime divisors (135).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1178983 + ... + 1179065.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 2^97858992 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 97858992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239360).

97858992 is an abundant number, since it is smaller than the sum of its proper divisors (234619728).

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

97858992 is a wasteful number, since it uses less digits than its factorization.

97858992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 57.

The square root of 97858992 is about 9892.3703933890. The cubic root of 97858992 is about 460.8223977587.

The spelling of 97858992 in words is "ninety-seven million, eight hundred fifty-eight thousand, nine hundred ninety-two".