258601 has 4 divisors (see below), whose sum is σ = 295552. Its totient is φ = 221652.

The previous prime is 258581. The next prime is 258607. The reversal of 258601 is 106852.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 258601 - 2⁵ = 258569 is a prime.

It is a Duffinian number.

258601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (258607) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18465 + ... + 18478.

It is an arithmetic number, because the mean of its divisors is an integer number (73888).

2²⁵⁸⁶⁰¹ is an apocalyptic number.

It is an amenable number.

258601 is a deficient number, since it is larger than the sum of its proper divisors (36951).

258601 is an equidigital number, since it uses as much as digits as its factorization.

258601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36950.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 258601 is about 508.5282686341. The cubic root of 258601 is about 63.7103611072.

Adding to 258601 its product of nonzero digits (480), we get a square (259081 = 509²).

Subtracting from 258601 its product of nonzero digits (480), we obtain a triangular number (258121 = T₇₁₈).

The spelling of 258601 in words is "two hundred fifty-eight thousand, six hundred one".