10085313 has 16 divisors (see below), whose sum is σ = 15622016. Its totient is φ = 5667840.

The previous prime is 10085311. The next prime is 10085321. The reversal of 10085313 is 31358001.

It is a happy number.

10085313 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10085313 - 2¹ = 10085311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10085313.

It is not an unprimeable number, because it can be changed into a prime (10085311) 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, 2656 + ... + 5217.

It is an arithmetic number, because the mean of its divisors is an integer number (976376).

Almost surely, 2^10085313 is an apocalyptic number.

It is an amenable number.

10085313 is a deficient number, since it is larger than the sum of its proper divisors (5536703).

10085313 is an equidigital number, since it uses as much as digits as its factorization.

10085313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7944.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10085313 is about 3175.7381819035. The cubic root of 10085313 is about 216.0544058768.

The spelling of 10085313 in words is "ten million, eighty-five thousand, three hundred thirteen".