82575 has 18 divisors (see below), whose sum is σ = 148304. Its totient is φ = 43920.

The previous prime is 82571. The next prime is 82591. The reversal of 82575 is 57528.

It is a happy number.

It is not a de Polignac number, because 82575 - 2² = 82571 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82571) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42 + ... + 408.

2⁸²⁵⁷⁵ is an apocalyptic number.

82575 is a deficient number, since it is larger than the sum of its proper divisors (65729).

82575 is a wasteful number, since it uses less digits than its factorization.

82575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 375 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 82575 is about 287.3586609100. The cubic root of 82575 is about 43.5461262599.

It can be divided in two parts, 825 and 75, that added together give a square (900 = 30²).

The spelling of 82575 in words is "eighty-two thousand, five hundred seventy-five".