97874257 has 16 divisors (see below), whose sum is σ = 110299392. Its totient is φ = 86244480.

The previous prime is 97874251. The next prime is 97874297. The reversal of 97874257 is 75247879.

It is a cyclic number.

It is not a de Polignac number, because 97874257 - 2¹⁵ = 97841489 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 97874257.

It is not an unprimeable number, because it can be changed into a prime (97874251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23098 + ... + 27004.

It is an arithmetic number, because the mean of its divisors is an integer number (6893712).

Almost surely, 2^97874257 is an apocalyptic number.

It is an amenable number.

97874257 is a deficient number, since it is larger than the sum of its proper divisors (12425135).

97874257 is a wasteful number, since it uses less digits than its factorization.

97874257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008.

The product of its digits is 987840, while the sum is 49.

The square root of 97874257 is about 9893.1419175103. The cubic root of 97874257 is about 460.8463577036.

The spelling of 97874257 in words is "ninety-seven million, eight hundred seventy-four thousand, two hundred fifty-seven".