258642 has 12 divisors (see below), whose sum is σ = 560430. Its totient is φ = 86208.

The previous prime is 258637. The next prime is 258659. The reversal of 258642 is 246852.

258642 is a mountain number because its digits go up and then down.

It can be written as a sum of positive squares in only one way, i.e., 210681 + 47961 = 459^2 + 219^2 .

It is a zygodrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258642.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7167 + ... + 7202.

2²⁵⁸⁶⁴² is an apocalyptic number.

258642 is an abundant number, since it is smaller than the sum of its proper divisors (301788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258642 is a wasteful number, since it uses less digits than its factorization.

258642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14377 (or 14374 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 258642 is about 508.5685794463. The cubic root of 258642 is about 63.7137279243.

It can be divided in two parts, 2586 and 42, that added together give a triangular number (2628 = T₇₂).

The spelling of 258642 in words is "two hundred fifty-eight thousand, six hundred forty-two".