18793125 has 60 divisors (see below), whose sum is σ = 36672636. Its totient is φ = 9216000.

The previous prime is 18793121. The next prime is 18793133. The reversal of 18793125 is 52139781.

It can be written as a sum of positive squares in 10 ways, for example, as 12152196 + 6640929 = 3486^2 + 2577^2 .

It is not a de Polignac number, because 18793125 - 2² = 18793121 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 18793125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18793121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 72997 + ... + 73253.

Almost surely, 2^18793125 is an apocalyptic number.

18793125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18793125 is a deficient number, since it is larger than the sum of its proper divisors (17879511).

18793125 is a wasteful number, since it uses less digits than its factorization.

18793125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 278 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 18793125 is about 4335.1038049855. The cubic root of 18793125 is about 265.8681625689.

The spelling of 18793125 in words is "eighteen million, seven hundred ninety-three thousand, one hundred twenty-five".