97972400 has 60 divisors (see below), whose sum is σ = 243002304. Its totient is φ = 37920000.

The previous prime is 97972367. The next prime is 97972409. The reversal of 97972400 is 427979.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (97972409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8450 + ... + 16350.

Almost surely, 2^97972400 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 97972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121501152).

97972400 is an abundant number, since it is smaller than the sum of its proper divisors (145029904).

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

97972400 is a wasteful number, since it uses less digits than its factorization.

97972400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7950 (or 7939 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 97972400 is about 9898.1008279366. The cubic root of 97972400 is about 461.0003434952. Note that the first 3 decimals are identical.

The spelling of 97972400 in words is "ninety-seven million, nine hundred seventy-two thousand, four hundred".