97097600 has 96 divisors (see below), whose sum is σ = 252643800. Its totient is φ = 36771840.

The previous prime is 97097599. The next prime is 97097647. The reversal of 97097600 is 679079.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60002 + ... + 61598.

Almost surely, 2^97097600 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 97097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126321900).

97097600 is an abundant number, since it is smaller than the sum of its proper divisors (155546200).

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

97097600 is a wasteful number, since it uses less digits than its factorization.

97097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 38.

The square root of 97097600 is about 9853.8114453241. The cubic root of 97097600 is about 459.6241416212.

The spelling of 97097600 in words is "ninety-seven million, ninety-seven thousand, six hundred".