382557845 has 16 divisors (see below), whose sum is σ = 465809520. Its totient is φ = 301584384.

The previous prime is 382557809. The next prime is 382557883. The reversal of 382557845 is 548755283.

It can be written as a sum of positive squares in 8 ways, for example, as 62362609 + 320195236 = 7897^2 + 17894^2 .

It is a cyclic number.

It is not a de Polignac number, because 382557845 - 2¹⁴ = 382541461 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 382557845.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 103367 + ... + 107003.

It is an arithmetic number, because the mean of its divisors is an integer number (29113095).

Almost surely, 2^382557845 is an apocalyptic number.

It is an amenable number.

382557845 is a deficient number, since it is larger than the sum of its proper divisors (83251675).

382557845 is a wasteful number, since it uses less digits than its factorization.

382557845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944.

The product of its digits is 1344000, while the sum is 47.

The square root of 382557845 is about 19559.0859960275. The cubic root of 382557845 is about 725.9371756659.

The spelling of 382557845 in words is "three hundred eighty-two million, five hundred fifty-seven thousand, eight hundred forty-five".