256893 has 16 divisors (see below), whose sum is σ = 422016. Its totient is φ = 135360.

The previous prime is 256889. The next prime is 256901. The reversal of 256893 is 398652.

It is a happy number.

It is not a de Polignac number, because 256893 - 2² = 256889 is a prime.

256893 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (26376).

2²⁵⁶⁸⁹³ is an apocalyptic number.

It is an amenable number.

256893 is a deficient number, since it is larger than the sum of its proper divisors (165123).

256893 is a wasteful number, since it uses less digits than its factorization.

256893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964.

The product of its digits is 12960, while the sum is 33.

The square root of 256893 is about 506.8461304972. The cubic root of 256893 is about 63.5697870817.

The spelling of 256893 in words is "two hundred fifty-six thousand, eight hundred ninety-three".