10137933 has 32 divisors (see below), whose sum is σ = 17136000. Its totient is φ = 5868288.

The previous prime is 10137931. The next prime is 10137937. The reversal of 10137933 is 33973101.

10137933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10137933 - 2¹ = 10137931 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10137897 and 10137906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10137931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5118 + ... + 6816.

It is an arithmetic number, because the mean of its divisors is an integer number (535500).

Almost surely, 2^10137933 is an apocalyptic number.

10137933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10137933 is a deficient number, since it is larger than the sum of its proper divisors (6998067).

10137933 is a wasteful number, since it uses less digits than its factorization.

10137933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1732 counting only the distinct ones).

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

The square root of 10137933 is about 3184.0120916856. The cubic root of 10137933 is about 216.4295080274.

The spelling of 10137933 in words is "ten million, one hundred thirty-seven thousand, nine hundred thirty-three".