331825 has 12 divisors (see below), whose sum is σ = 443548. Its totient is φ = 244800.

The previous prime is 331819. The next prime is 331841. The reversal of 331825 is 528133.

331825 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 6 ways, for example, as 28224 + 303601 = 168^2 + 551^2 .

It is not a de Polignac number, because 331825 - 2⁷ = 331697 is a prime.

It is a super-2 number, since 2×331825² = 220215661250, which contains 22 as substring.

It is a Duffinian number.

331825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 331796 and 331805.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331825.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186 + ... + 835.

2³³¹⁸²⁵ is an apocalyptic number.

It is an amenable number.

331825 is a deficient number, since it is larger than the sum of its proper divisors (111723).

331825 is a wasteful number, since it uses less digits than its factorization.

331825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1039 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 331825 is about 576.0425331518. The cubic root of 331825 is about 69.2313873006.

Adding to 331825 its reverse (528133), we get a palindrome (859958).

It can be divided in two parts, 331 and 825, that added together give a square (1156 = 34²).

The spelling of 331825 in words is "three hundred thirty-one thousand, eight hundred twenty-five".