97032600 has 384 divisors, whose sum is σ = 407116800. Its totient is φ = 20736000.

The previous prime is 97032589. The next prime is 97032613. The reversal of 97032600 is 623079.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 642525 + ... + 642675.

It is an arithmetic number, because the mean of its divisors is an integer number (1060200).

Almost surely, 2^97032600 is an apocalyptic number.

97032600 is a gapful number since it is divisible by the number (90) 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 97032600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

97032600 is an abundant number, since it is smaller than the sum of its proper divisors (310084200).

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

97032600 is a wasteful number, since it uses less digits than its factorization.

97032600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 97032600 is about 9850.5126770133. The cubic root of 97032600 is about 459.5215567368.

Adding to 97032600 its reverse (623079), we get a palindrome (97655679).

The spelling of 97032600 in words is "ninety-seven million, thirty-two thousand, six hundred".