97395456 has 72 divisors (see below), whose sum is σ = 268213680. Its totient is φ = 31338496.

The previous prime is 97395439. The next prime is 97395497. The reversal of 97395456 is 65459379.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20086 + ... + 24458.

It is an arithmetic number, because the mean of its divisors is an integer number (3725190).

Almost surely, 2^97395456 is an apocalyptic number.

97395456 is a gapful number since it is divisible by the number (96) 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 97395456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134106840).

97395456 is an abundant number, since it is smaller than the sum of its proper divisors (170818224).

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

97395456 is a wasteful number, since it uses less digits than its factorization.

97395456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4421 (or 4407 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 48.

The square root of 97395456 is about 9868.9136180230. The cubic root of 97395456 is about 460.0936419317.

The spelling of 97395456 in words is "ninety-seven million, three hundred ninety-five thousand, four hundred fifty-six".