38002125 has 64 divisors (see below), whose sum is σ = 74760192. Its totient is φ = 16776000.

The previous prime is 38002117. The next prime is 38002127. The reversal of 38002125 is 52120083.

It is not a de Polignac number, because 38002125 - 2³ = 38002117 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38002127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81142 + ... + 81608.

It is an arithmetic number, because the mean of its divisors is an integer number (1168128).

Almost surely, 2^38002125 is an apocalyptic number.

38002125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38002125 is a deficient number, since it is larger than the sum of its proper divisors (36758067).

38002125 is a wasteful number, since it uses less digits than its factorization.

38002125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 38002125 is about 6164.5863608194. The cubic root of 38002125 is about 336.2038074032.

The spelling of 38002125 in words is "thirty-eight million, two thousand, one hundred twenty-five".