10137393 has 40 divisors (see below), whose sum is σ = 18237120. Its totient is φ = 5482080.

The previous prime is 10137349. The next prime is 10137419. The reversal of 10137393 is 39373101.

It is not a de Polignac number, because 10137393 - 2⁶ = 10137329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10137493) 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 39 ways as a sum of consecutive naturals, for example, 10303 + ... + 11243.

It is an arithmetic number, because the mean of its divisors is an integer number (455928).

Almost surely, 2^10137393 is an apocalyptic number.

It is an amenable number.

10137393 is a deficient number, since it is larger than the sum of its proper divisors (8099727).

10137393 is an equidigital number, since it uses as much as digits as its factorization.

10137393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 10137393 is about 3183.9272918834. The cubic root of 10137393 is about 216.4256652319.

The spelling of 10137393 in words is "ten million, one hundred thirty-seven thousand, three hundred ninety-three".