10085413 has 12 divisors (see below), whose sum is σ = 11067840. Its totient is φ = 9184656.

The previous prime is 10085351. The next prime is 10085429. The reversal of 10085413 is 31458001.

It is not a de Polignac number, because 10085413 - 2⁹ = 10084901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13668 + ... + 14386.

It is an arithmetic number, because the mean of its divisors is an integer number (922320).

Almost surely, 2^10085413 is an apocalyptic number.

10085413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10085413 is a deficient number, since it is larger than the sum of its proper divisors (982427).

10085413 is an equidigital number, since it uses as much as digits as its factorization.

10085413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 10085413 is about 3175.7539262355. The cubic root of 10085413 is about 216.0551199637.

The spelling of 10085413 in words is "ten million, eighty-five thousand, four hundred thirteen".