9975313 has 4 divisors (see below), whose sum is σ = 9993780. Its totient is φ = 9956848.

The previous prime is 9975299. The next prime is 9975319. The reversal of 9975313 is 3135799.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3135799 = 29 ⋅108131.

It can be written as a sum of positive squares in 2 ways, for example, as 2396304 + 7579009 = 1548^2 + 2753^2 .

It is a cyclic number.

It is not a de Polignac number, because 9975313 - 2⁵ = 9975281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9975319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8398 + ... + 9511.

It is an arithmetic number, because the mean of its divisors is an integer number (2498445).

Almost surely, 2^9975313 is an apocalyptic number.

It is an amenable number.

9975313 is a deficient number, since it is larger than the sum of its proper divisors (18467).

9975313 is a wasteful number, since it uses less digits than its factorization.

9975313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18466.

The product of its digits is 25515, while the sum is 37.

The square root of 9975313 is about 3158.3718907057. The cubic root of 9975313 is about 215.2660344815.

The spelling of 9975313 in words is "nine million, nine hundred seventy-five thousand, three hundred thirteen".