31642 has 8 divisors (see below), whose sum is σ = 51156. Its totient is φ = 14592.

The previous prime is 31627. The next prime is 31643. The reversal of 31642 is 24613.

It can be written as a sum of positive squares in 2 ways, for example, as 29241 + 2401 = 171^2 + 49^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (31643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 583 + ... + 634.

2³¹⁶⁴² is an apocalyptic number.

31642 is a deficient number, since it is larger than the sum of its proper divisors (19514).

31642 is a wasteful number, since it uses less digits than its factorization.

31642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232.

The product of its digits is 144, while the sum is 16.

The square root of 31642 is about 177.8819833485. The cubic root of 31642 is about 31.6291831031.

Subtracting from 31642 its sum of digits (16), we obtain a triangular number (31626 = T₂₅₁).

It can be divided in two parts, 3164 and 2, that multiplied together give a triangular number (6328 = T₁₁₂).

The spelling of 31642 in words is "thirty-one thousand, six hundred forty-two".