382087125 has 112 divisors (see below), whose sum is σ = 818438400. Its totient is φ = 174376800.

The previous prime is 382087117. The next prime is 382087129. The reversal of 382087125 is 521780283.

It is not a de Polignac number, because 382087125 - 2³ = 382087117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 382087125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382087129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 637576 + ... + 638174.

Almost surely, 2^382087125 is an apocalyptic number.

382087125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

382087125 is an abundant number, since it is smaller than the sum of its proper divisors (436351275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

382087125 is an frugal number, since it uses more digits than its factorization.

382087125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 382087125 is about 19547.0490100168. The cubic root of 382087125 is about 725.6393092545.

The spelling of 382087125 in words is "three hundred eighty-two million, eighty-seven thousand, one hundred twenty-five".