258596 has 12 divisors (see below), whose sum is σ = 487452. Its totient is φ = 119328.

The previous prime is 258581. The next prime is 258607. The reversal of 258596 is 695852.

258596 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 98596 + 160000 = 314^2 + 400^2 .

It is an unprimeable number.

258596 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, 2435 + ... + 2538.

It is an arithmetic number, because the mean of its divisors is an integer number (40621).

2²⁵⁸⁵⁹⁶ is an apocalyptic number.

258596 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

258596 is a deficient number, since it is larger than the sum of its proper divisors (228856).

258596 is a wasteful number, since it uses less digits than its factorization.

258596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4988 counting only the distinct ones).

The product of its digits is 21600, while the sum is 35.

The square root of 258596 is about 508.5233524628. The cubic root of 258596 is about 63.7099504955.

It can be divided in two parts, 2585 and 96, that multiplied together give a triangular number (248160 = T₇₀₄).

The spelling of 258596 in words is "two hundred fifty-eight thousand, five hundred ninety-six".