82525 has 6 divisors (see below), whose sum is σ = 102362. Its totient is φ = 66000.

The previous prime is 82507. The next prime is 82529. The reversal of 82525 is 52528.

82525 = 45² + 46² + ... + 69².

It can be written as a sum of positive squares in 3 ways, for example, as 729 + 81796 = 27^2 + 286^2 .

It is not a de Polignac number, because 82525 - 2⁵ = 82493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82496 and 82505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82529) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1626 + ... + 1675.

2⁸²⁵²⁵ is an apocalyptic number.

It is an amenable number.

82525 is a deficient number, since it is larger than the sum of its proper divisors (19837).

82525 is a wasteful number, since it uses less digits than its factorization.

82525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3306 counting only the distinct ones).

The product of its digits is 800, while the sum is 22.

The square root of 82525 is about 287.2716484445. The cubic root of 82525 is about 43.5373352783.

The spelling of 82525 in words is "eighty-two thousand, five hundred twenty-five".