382007025 has 27 divisors (see below), whose sum is σ = 684742539. Its totient is φ = 203580720.

The previous prime is 382007011. The next prime is 382007033. The reversal of 382007025 is 520700283.

The square root of 382007025 is 19545.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 137522529 + 244484496 = 11727^2 + 15636^2 .

It is a de Polignac number, because none of the positive numbers 2^k-382007025 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 382007025.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 292524 + ... + 293826.

Almost surely, 2^382007025 is an apocalyptic number.

382007025 is the 19545-th square number.

382007025 is the 9773-rd centered octagonal number.

It is an amenable number.

382007025 is a deficient number, since it is larger than the sum of its proper divisors (302735514).

382007025 is an equidigital number, since it uses as much as digits as its factorization.

382007025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The cubic root of 382007025 is about 725.5885985073.

The spelling of 382007025 in words is "three hundred eighty-two million, seven thousand, twenty-five".