257067 has 8 divisors (see below), whose sum is σ = 380880. Its totient is φ = 171360.

The previous prime is 257053. The next prime is 257069. The reversal of 257067 is 760752.

It is not a de Polignac number, because 257067 - 2⁶ = 257003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 9521 = 257067 / (2 + 5 + 7 + 0 + 6 + 7).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 257067.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257067.

It is not an unprimeable number, because it can be changed into a prime (257069) 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 in 7 ways as a sum of consecutive naturals, for example, 4734 + ... + 4787.

It is an arithmetic number, because the mean of its divisors is an integer number (47610).

2²⁵⁷⁰⁶⁷ is an apocalyptic number.

257067 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

257067 is a deficient number, since it is larger than the sum of its proper divisors (123813).

257067 is an equidigital number, since it uses as much as digits as its factorization.

257067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530 (or 9524 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 257067 is about 507.0177511685. The cubic root of 257067 is about 63.5841363069.

The spelling of 257067 in words is "two hundred fifty-seven thousand, sixty-seven".