31662 has 12 divisors (see below), whose sum is σ = 68640. Its totient is φ = 10548.

The previous prime is 31657. The next prime is 31663. The reversal of 31662 is 26613.

It is a happy number.

31662 is a *`hidden beast`* number, since 3 + 1 + 662 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1759 = 31662 / (3 + 1 + 6 + 6 + 2).

It is a nude number because it is divisible by every one of its digits.

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 31662.

It is not an unprimeable number, because it can be changed into a prime (31663) by changing a digit.

31662 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 862 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (5720).

2^{31662} is an apocalyptic number.

31662 is an abundant number, since it is smaller than the sum of its proper divisors (36978).

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

31662 is a wasteful number, since it uses less digits than its factorization.

31662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1764 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 31662 is about 177.9381915160. The cubic root of 31662 is about 31.6358456659.

Adding to 31662 its product of digits (216), we get a triangular number (31878 = T_{252}).

It can be divided in two parts, 316 and 62, that added together give a triangular number (378 = T_{27}).

The spelling of 31662 in words is "thirty-one thousand, six hundred sixty-two".

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