97985272 has 64 divisors (see below), whose sum is σ = 232300800. Its totient is φ = 37635840.

The previous prime is 97985269. The next prime is 97985273. The reversal of 97985272 is 27258979.

It is a super-2 number, since 2×97985272² = 19202227057827968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97985273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43879 + ... + 46057.

It is an arithmetic number, because the mean of its divisors is an integer number (3629700).

Almost surely, 2^97985272 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 97985272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116150400).

97985272 is an abundant number, since it is smaller than the sum of its proper divisors (134315528).

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

97985272 is a wasteful number, since it uses less digits than its factorization.

97985272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2272 counting only the distinct ones).

The product of its digits is 635040, while the sum is 49.

The square root of 97985272 is about 9898.7510323273. The cubic root of 97985272 is about 461.0205319584.

The spelling of 97985272 in words is "ninety-seven million, nine hundred eighty-five thousand, two hundred seventy-two".