31963 has 2 divisors, whose sum is σ = 31964. Its totient is φ = 31962.

The previous prime is 31957. The next prime is 31973. The reversal of 31963 is 36913.

It is a weak prime.

It is an emirp because it is prime and its reverse (36913) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31963 is a prime.

It is a nialpdrome in base 8 and base 14.

It is not a weakly prime, because it can be changed into another prime (31973) 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 as a sum of consecutive naturals, namely, 15981 + 15982.

It is an arithmetic number, because the mean of its divisors is an integer number (15982).

2³¹⁹⁶³ is an apocalyptic number.

31963 is a deficient number, since it is larger than the sum of its proper divisors (1).

31963 is an equidigital number, since it uses as much as digits as its factorization.

31963 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 22.

The square root of 31963 is about 178.7819901444. The cubic root of 31963 is about 31.7357801038.

Subtracting 31963 from its reverse (36913), we obtain a triangular number (4950 = T₉₉).

The spelling of 31963 in words is "thirty-one thousand, nine hundred sixty-three".