258801 has 8 divisors (see below), whose sum is σ = 347424. Its totient is φ = 171360.

The previous prime is 258787. The next prime is 258803. The reversal of 258801 is 108852.

Added to its reverse (108852) it gives a triangular number (367653 = T₈₅₇).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 258801 - 2⁶ = 258737 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 690 + ... + 996.

It is an arithmetic number, because the mean of its divisors is an integer number (43428).

2²⁵⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

258801 is a deficient number, since it is larger than the sum of its proper divisors (88623).

258801 is a wasteful number, since it uses less digits than its factorization.

258801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591.

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 258801 is about 508.7248765295. The cubic root of 258801 is about 63.7267812407.

Adding to 258801 its reverse (108852), we get a triangular number (367653 = T₈₅₇).

The spelling of 258801 in words is "two hundred fifty-eight thousand, eight hundred one".