382256217 has 24 divisors (see below), whose sum is σ = 644457216. Its totient is φ = 213782976.

The previous prime is 382256201. The next prime is 382256219. The reversal of 382256217 is 712652283.

382256217 is a `hidden beast` number, since 3 + 8 + 2 + 25 + 621 + 7 = 666.

It is not a de Polignac number, because 382256217 - 2⁴ = 382256201 is a prime.

It is a super-2 number, since 2×382256217² = 292239630870302178, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (382256219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61588 + ... + 67509.

It is an arithmetic number, because the mean of its divisors is an integer number (26852384).

Almost surely, 2^382256217 is an apocalyptic number.

It is an amenable number.

382256217 is a deficient number, since it is larger than the sum of its proper divisors (262200999).

382256217 is a wasteful number, since it uses less digits than its factorization.

382256217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129157 (or 129154 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 382256217 is about 19551.3737880488. The cubic root of 382256217 is about 725.7463369438.

The spelling of 382256217 in words is "three hundred eighty-two million, two hundred fifty-six thousand, two hundred seventeen".