31006971 has 12 divisors (see below), whose sum is σ = 45522880. Its totient is φ = 20332080.

The previous prime is 31006957. The next prime is 31006973. The reversal of 31006971 is 17960013.

It is not a de Polignac number, because 31006971 - 2⁵ = 31006939 is a prime.

It is a super-3 number, since 3×31006971³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31006973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27691 + ... + 28788.

Almost surely, 2^31006971 is an apocalyptic number.

31006971 is a deficient number, since it is larger than the sum of its proper divisors (14515909).

31006971 is a wasteful number, since it uses less digits than its factorization.

31006971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56546 (or 56543 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 31006971 is about 5568.3903419211. The cubic root of 31006971 is about 314.1616103179.

Adding to 31006971 its reverse (17960013), we get a palindrome (48966984).

The spelling of 31006971 in words is "thirty-one million, six thousand, nine hundred seventy-one".