10735313 has 8 divisors (see below), whose sum is σ = 11404008. Its totient is φ = 10070784.

The previous prime is 10735297. The next prime is 10735327. The reversal of 10735313 is 31353701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2486929 + 8248384 = 1577^2 + 2872^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10735313 - 2⁴ = 10735297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10735013) 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 7 ways as a sum of consecutive naturals, for example, 5495 + ... + 7187.

It is an arithmetic number, because the mean of its divisors is an integer number (1425501).

Almost surely, 2^10735313 is an apocalyptic number.

It is an amenable number.

10735313 is a deficient number, since it is larger than the sum of its proper divisors (668695).

10735313 is a wasteful number, since it uses less digits than its factorization.

10735313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083.

The product of its (nonzero) digits is 945, while the sum is 23.

The square root of 10735313 is about 3276.4787501218. The cubic root of 10735313 is about 220.5996930261.

The spelling of 10735313 in words is "ten million, seven hundred thirty-five thousand, three hundred thirteen".