31663 has 2 divisors, whose sum is σ = 31664. Its totient is φ = 31662.

The previous prime is 31657. The next prime is 31667. The reversal of 31663 is 36613.

It is a happy number.

31663 is nontrivially palindromic in base 8.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 31663 - 2⁹ = 31151 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 31663.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15831 + 15832.

It is an arithmetic number, because the mean of its divisors is an integer number (15832).

2³¹⁶⁶³ is an apocalyptic number.

31663 is a deficient number, since it is larger than the sum of its proper divisors (1).

31663 is an equidigital number, since it uses as much as digits as its factorization.

31663 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 19.

The square root of 31663 is about 177.9410014583. The cubic root of 31663 is about 31.6361787203.

Subtracting 31663 from its reverse (36613), we obtain a triangular number (4950 = T₉₉).

The spelling of 31663 in words is "thirty-one thousand, six hundred sixty-three".