82175360 has 32 divisors (see below), whose sum is σ = 196452000. Its totient is φ = 32869888.

The previous prime is 82175351. The next prime is 82175369. The reversal of 82175360 is 6357128.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82175351) and next prime (82175369).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×82175360² = 13505579582259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82175369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63560 + ... + 64839.

It is an arithmetic number, because the mean of its divisors is an integer number (6139125).

Almost surely, 2^82175360 is an apocalyptic number.

82175360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82175360 is an abundant number, since it is smaller than the sum of its proper divisors (114276640).

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

82175360 is a wasteful number, since it uses less digits than its factorization.

82175360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128418 (or 128406 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 82175360 is about 9065.0626032036. The cubic root of 82175360 is about 434.7576224945.

The spelling of 82175360 in words is "eighty-two million, one hundred seventy-five thousand, three hundred sixty".