18838125 has 60 divisors (see below), whose sum is σ = 36185292. Its totient is φ = 9408000.

The previous prime is 18838121. The next prime is 18838129. The reversal of 18838125 is 52183881.

It is an interprime number because it is at equal distance from previous prime (18838121) and next prime (18838129).

It can be written as a sum of positive squares in 10 ways, for example, as 6007401 + 12830724 = 2451^2 + 3582^2 .

It is not a de Polignac number, because 18838125 - 2² = 18838121 is a prime.

Its product of digits (15360) is a multiple of the sum of its prime factors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 18838125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18838121) 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, 95527 + ... + 95723.

Almost surely, 2^18838125 is an apocalyptic number.

18838125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18838125 is a deficient number, since it is larger than the sum of its proper divisors (17347167).

18838125 is a wasteful number, since it uses less digits than its factorization.

18838125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 18838125 is about 4340.2908888691. The cubic root of 18838125 is about 266.0801998734.

The spelling of 18838125 in words is "eighteen million, eight hundred thirty-eight thousand, one hundred twenty-five".