97992972 has 288 divisors, whose sum is σ = 339655680. Its totient is φ = 23063040.

The previous prime is 97992967. The next prime is 97992977. The reversal of 97992972 is 27929979.

It is an interprime number because it is at equal distance from previous prime (97992967) and next prime (97992977).

It is a super-2 number, since 2×97992972² = 19205245122785568, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (97992977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1848898 + ... + 1848950.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^97992972 is an apocalyptic number.

97992972 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 97992972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

97992972 is an abundant number, since it is smaller than the sum of its proper divisors (241662708).

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

97992972 is a wasteful number, since it uses less digits than its factorization.

97992972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 128 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 54.

The square root of 97992972 is about 9899.1399626432. The cubic root of 97992972 is about 461.0326078042.

The spelling of 97992972 in words is "ninety-seven million, nine hundred ninety-two thousand, nine hundred seventy-two".