385657 has 2 divisors, whose sum is σ = 385658. Its totient is φ = 385656.

The previous prime is 385639. The next prime is 385661. The reversal of 385657 is 756583.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 385641 + 16 = 621^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 385657 - 2¹¹ = 383609 is a prime.

385657 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (385607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192828 + 192829.

It is an arithmetic number, because the mean of its divisors is an integer number (192829).

2³⁸⁵⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

385657 is a deficient number, since it is larger than the sum of its proper divisors (1).

385657 is an equidigital number, since it uses as much as digits as its factorization.

385657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25200, while the sum is 34.

The square root of 385657 is about 621.0128823140. The cubic root of 385657 is about 72.7892212235.

The spelling of 385657 in words is "three hundred eighty-five thousand, six hundred fifty-seven".