10038357 has 16 divisors (see below), whose sum is σ = 16996480. Its totient is φ = 5736096.

The previous prime is 10038349. The next prime is 10038377. The reversal of 10038357 is 75383001.

It is not a de Polignac number, because 10038357 - 2³ = 10038349 is a prime.

It is a super-2 number, since 2×10038357² = 201537222518898, which contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10038357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10038337) 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 15 ways as a sum of consecutive naturals, for example, 26368 + ... + 26745.

It is an arithmetic number, because the mean of its divisors is an integer number (1062280).

Almost surely, 2^10038357 is an apocalyptic number.

It is an amenable number.

10038357 is a deficient number, since it is larger than the sum of its proper divisors (6958123).

10038357 is an equidigital number, since it uses as much as digits as its factorization.

10038357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53129 (or 53123 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 10038357 is about 3168.3366298422. The cubic root of 10038357 is about 215.7185763973.

The spelling of 10038357 in words is "ten million, thirty-eight thousand, three hundred fifty-seven".