97531128 has 80 divisors (see below), whose sum is σ = 279916560. Its totient is φ = 31708800.

The previous prime is 97531127. The next prime is 97531153. The reversal of 97531128 is 82113579.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97531092 and 97531101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97531121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24733 + ... + 28403.

It is an arithmetic number, because the mean of its divisors is an integer number (3498957).

Almost surely, 2^97531128 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 97531128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139958280).

97531128 is an abundant number, since it is smaller than the sum of its proper divisors (182385432).

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

97531128 is a wasteful number, since it uses less digits than its factorization.

97531128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3717 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 97531128 is about 9875.7849308295. The cubic root of 97531128 is about 460.3071798283.

The spelling of 97531128 in words is "ninety-seven million, five hundred thirty-one thousand, one hundred twenty-eight".