• 31828² = 1013021584 is an anagram of the next square 31829² = 1013085241.

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31828 has 12 divisors (see below), whose sum is σ = 56980. Its totient is φ = 15552.

The previous prime is 31817. The next prime is 31847. The reversal of 31828 is 82813.

It can be written as a sum of positive squares in 2 ways, for example, as 20164 + 11664 = 142^2 + 108^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 31799 and 31808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238 + ... + 346.

2³¹⁸²⁸ is an apocalyptic number.

It is an amenable number.

31828 is a deficient number, since it is larger than the sum of its proper divisors (25152).

31828 is a wasteful number, since it uses less digits than its factorization.

31828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 31828 is about 178.4040358288. The cubic root of 31828 is about 31.6910369496.

The spelling of 31828 in words is "thirty-one thousand, eight hundred twenty-eight".