31836 has 24 divisors (see below), whose sum is σ = 85120. Its totient is φ = 9072.

The previous prime is 31817. The next prime is 31847. The reversal of 31836 is 63813.

31836 = T₃₃ + T₃₄ + ... + T₆₀.

31836 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31836.

It is an unprimeable number.

31836 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 273.

2³¹⁸³⁶ is an apocalyptic number.

It is an amenable number.

31836 is an abundant number, since it is smaller than the sum of its proper divisors (53284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42560).

31836 is a wasteful number, since it uses less digits than its factorization.

31836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 31836 is about 178.4264554375. The cubic root of 31836 is about 31.6936919185.

The spelling of 31836 in words is "thirty-one thousand, eight hundred thirty-six".