254564 has 12 divisors (see below), whose sum is σ = 465024. Its totient is φ = 121704.

The previous prime is 254557. The next prime is 254593. The reversal of 254564 is 465452.

254564 is nontrivially palindromic in base 7.

254564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2¹⁵ + 5⁷ + 5⁷ + 4 + 6 + 4⁸ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 254564.

It is an unprimeable number.

254564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1292 + ... + 1475.

It is an arithmetic number, because the mean of its divisors is an integer number (38752).

2²⁵⁴⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

254564 is a deficient number, since it is larger than the sum of its proper divisors (210460).

254564 is a wasteful number, since it uses less digits than its factorization.

254564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2792 counting only the distinct ones).

The product of its digits is 4800, while the sum is 26.

The square root of 254564 is about 504.5433578990. The cubic root of 254564 is about 63.3770950242.

It can be divided in two parts, 254 and 564, that added together give a palindrome (818).

The spelling of 254564 in words is "two hundred fifty-four thousand, five hundred sixty-four".