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31974 = 23732

31974 has 12 divisors (see below), whose sum is σ = 64836. Its totient is φ = 10512.

The previous prime is 31973. The next prime is 31981. The reversal of 31974 is 47913.

It is an Ulam number.

It is a Curzon number.

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 31974.

It is not an unprimeable number, because it can be changed into a prime (31973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 402 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (5403).

231974 is an apocalyptic number.

31974 is an abundant number, since it is smaller than the sum of its proper divisors (32862).

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 (32418).

31974 is an equidigital number, since it uses as much as digits as its factorization.

31974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 78 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 31974 is about 178.8127512232. The cubic root of 31974 is about 31.7394202872.

Multiplying 31974 by its sum of digits (24), we get a square (767376 = 8762).

It can be divided in two parts, 319 and 74, that added together give a palindrome (393).

The spelling of 31974 in words is "thirty-one thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 73 146 219 438 5329 10658 15987 31974