31006963 has 16 divisors (see below), whose sum is σ = 35604576. Its totient is φ = 26749440.

The previous prime is 31006957. The next prime is 31006973. The reversal of 31006963 is 36960013.

It is a cyclic number.

It is not a de Polignac number, because 31006963 - 2⁵ = 31006931 is a prime.

It is a super-2 number, since 2×31006963² = 1922863508966738, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31006933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37828 + ... + 38638.

It is an arithmetic number, because the mean of its divisors is an integer number (2225286).

Almost surely, 2^31006963 is an apocalyptic number.

31006963 is a deficient number, since it is larger than the sum of its proper divisors (4597613).

31006963 is a wasteful number, since it uses less digits than its factorization.

31006963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014.

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 31006963 is about 5568.3896235806. The cubic root of 31006963 is about 314.1615832994.

Adding to 31006963 its reverse (36960013), we get a palindrome (67966976).

The spelling of 31006963 in words is "thirty-one million, six thousand, nine hundred sixty-three".