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31612 = 2271129

31612 has 12 divisors (see below), whose sum is σ = 63280. Its totient is φ = 13536.

The previous prime is 31607. The next prime is 31627. The reversal of 31612 is 21613.

31612 is nontrivially palindromic in base 6.

31612 is an admirable number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 31592 and 31601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 537 + ... + 592.

231612 is an apocalyptic number.

It is an amenable number.

31612 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (31640).

31612 is a wasteful number, since it uses less digits than its factorization.

31612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1138 counting only the distinct ones).

The product of its digits is 36, while the sum is 13.

The square root of 31612 is about 177.7976377796. The cubic root of 31612 is about 31.6191839930.

Subtracting from 31612 its reverse (21613), we obtain a palindrome (9999).

The spelling of 31612 in words is "thirty-one thousand, six hundred twelve".

Divisors: 1 2 4 7 14 28 1129 2258 4516 7903 15806 31612