31966 has 8 divisors (see below), whose sum is σ = 52344. Its totient is φ = 14520.

The previous prime is 31963. The next prime is 31973. The reversal of 31966 is 66913.

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

It is a plaindrome in base 16.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 31966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31963) by changing a digit.

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, 705 + ... + 748.

It is an arithmetic number, because the mean of its divisors is an integer number (6543).

2³¹⁹⁶⁶ is an apocalyptic number.

31966 is a deficient number, since it is larger than the sum of its proper divisors (20378).

31966 is a wasteful number, since it uses less digits than its factorization.

31966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466.

The product of its digits is 972, while the sum is 25.

The square root of 31966 is about 178.7903800544. The cubic root of 31966 is about 31.7367729639.

The spelling of 31966 in words is "thirty-one thousand, nine hundred sixty-six".