380657 has 2 divisors, whose sum is σ = 380658. Its totient is φ = 380656.

The previous prime is 380651. The next prime is 380707. The reversal of 380657 is 756083.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 341056 + 39601 = 584^2 + 199^2 .

It is a cyclic number.

It is not a de Polignac number, because 380657 - 2⁴ = 380641 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 3⁹ + 8³ + 6⁷ + 0 + 5⁷ + 7⁴ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 380657.

It is not a weakly prime, because it can be changed into another prime (380651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 190328 + 190329.

It is an arithmetic number, because the mean of its divisors is an integer number (190329).

2³⁸⁰⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

380657 is a deficient number, since it is larger than the sum of its proper divisors (1).

380657 is an equidigital number, since it uses as much as digits as its factorization.

380657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 380657 is about 616.9740675263. The cubic root of 380657 is about 72.4732838543.

Subtracting from 380657 its sum of digits (29), we obtain a triangular number (380628 = T₈₇₂).

The spelling of 380657 in words is "three hundred eighty thousand, six hundred fifty-seven".