82257175 has 96 divisors (see below), whose sum is σ = 144990720. Its totient is φ = 44582400.

The previous prime is 82257163. The next prime is 82257187. The reversal of 82257175 is 57175228.

It is an interprime number because it is at equal distance from previous prime (82257163) and next prime (82257187).

It is not a de Polignac number, because 82257175 - 2⁵ = 82257143 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 475389 + ... + 475561.

It is an arithmetic number, because the mean of its divisors is an integer number (1510320).

Almost surely, 2^82257175 is an apocalyptic number.

82257175 is a deficient number, since it is larger than the sum of its proper divisors (62733545).

82257175 is a wasteful number, since it uses less digits than its factorization.

82257175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 228 counting only the distinct ones).

The product of its digits is 39200, while the sum is 37.

The square root of 82257175 is about 9069.5741355369. The cubic root of 82257175 is about 434.9018583370.

It can be divided in two parts, 8225 and 7175, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 82257175 in words is "eighty-two million, two hundred fifty-seven thousand, one hundred seventy-five".