9971313 has 16 divisors (see below), whose sum is σ = 14843136. Its totient is φ = 5901840.

The previous prime is 9971303. The next prime is 9971341. The reversal of 9971313 is 3131799.

It is not a de Polignac number, because 9971313 - 2⁵ = 9971281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9971303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2095 + ... + 4932.

It is an arithmetic number, because the mean of its divisors is an integer number (927696).

Almost surely, 2^9971313 is an apocalyptic number.

It is an amenable number.

9971313 is a deficient number, since it is larger than the sum of its proper divisors (4871823).

9971313 is a wasteful number, since it uses less digits than its factorization.

9971313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7084.

The product of its digits is 5103, while the sum is 33.

The square root of 9971313 is about 3157.7385895606. The cubic root of 9971313 is about 215.2372574644.

The spelling of 9971313 in words is "nine million, nine hundred seventy-one thousand, three hundred thirteen".