97875456 has 80 divisors (see below), whose sum is σ = 298028544. Its totient is φ = 27961344.

The previous prime is 97875451. The next prime is 97875473. The reversal of 97875456 is 65457879.

It is a junction number, because it is equal to n+sod(n) for n = 97875399 and 97875408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97875451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6201 + ... + 15303.

Almost surely, 2^97875456 is an apocalyptic number.

97875456 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 97875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149014272).

97875456 is an abundant number, since it is smaller than the sum of its proper divisors (200153088).

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

97875456 is an equidigital number, since it uses as much as digits as its factorization.

97875456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9131 (or 9115 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The square root of 97875456 is about 9893.2025148584. The cubic root of 97875456 is about 460.8482395486.

The spelling of 97875456 in words is "ninety-seven million, eight hundred seventy-five thousand, four hundred fifty-six".