52825 has 6 divisors (see below), whose sum is σ = 65534. Its totient is φ = 42240.

The previous prime is 52817. The next prime is 52837.

52825 is nontrivially palindromic in base 10 and base 11.

It can be written as a sum of positive squares in 3 ways, for example, as 841 + 51984 = 29^2 + 228^2 .

It is not a de Polignac number, because 52825 - 2³ = 52817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 52796 and 52805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1032 + ... + 1081.

2⁵²⁸²⁵ is an apocalyptic number.

It is an amenable number.

52825 is a deficient number, since it is larger than the sum of its proper divisors (12709).

52825 is a wasteful number, since it uses less digits than its factorization.

52825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2118 counting only the distinct ones).

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

The square root of 52825 is about 229.8368986912. The cubic root of 52825 is about 37.5214691878.

Subtracting from 52825 its product of digits (800), we obtain a palindrome (52025).

The spelling of 52825 in words is "fifty-two thousand, eight hundred twenty-five".