382257 has 6 divisors (see below), whose sum is σ = 552162. Its totient is φ = 254832.

The previous prime is 382253. The next prime is 382267. The reversal of 382257 is 752283.

It can be written as a sum of positive squares in only one way, i.e., 269361 + 112896 = 519^2 + 336^2 .

It is not a de Polignac number, because 382257 - 2² = 382253 is a prime.

It is a super-3 number, since 3×382257³ = 167566653339385779, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a d-powerful number, because it can be written as 3⁷ + 8⁶ + 2⁴ + 2⁸ + 5 + 7⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 382257.

It is not an unprimeable number, because it can be changed into a prime (382253) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21228 + ... + 21245.

It is an arithmetic number, because the mean of its divisors is an integer number (92027).

2³⁸²²⁵⁷ is an apocalyptic number.

It is an amenable number.

382257 is a deficient number, since it is larger than the sum of its proper divisors (169905).

382257 is a wasteful number, since it uses less digits than its factorization.

382257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42479 (or 42476 counting only the distinct ones).

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

The square root of 382257 is about 618.2693587750. The cubic root of 382257 is about 72.5746832474.

The spelling of 382257 in words is "three hundred eighty-two thousand, two hundred fifty-seven".