268957 has 8 divisors (see below), whose sum is σ = 306936. Its totient is φ = 233472.

The previous prime is 268937. The next prime is 268969. The reversal of 268957 is 759862.

It can be written as a sum of positive squares in 4 ways, for example, as 17956 + 251001 = 134^2 + 501^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 268957 - 2¹¹ = 266909 is a prime.

It is a d-powerful number, because it can be written as 2² + 6³ + 9⁴ + 8⁶ + 5² + 7 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388 + ... + 829.

It is an arithmetic number, because the mean of its divisors is an integer number (38367).

2²⁶⁸⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

268957 is a deficient number, since it is larger than the sum of its proper divisors (37979).

268957 is a wasteful number, since it uses less digits than its factorization.

268957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247.

The product of its digits is 30240, while the sum is 37.

The square root of 268957 is about 518.6106439324. The cubic root of 268957 is about 64.5497082912.

It can be divided in two parts, 268 and 957, that added together give a triangular number (1225 = T₄₉).

The spelling of 268957 in words is "two hundred sixty-eight thousand, nine hundred fifty-seven".