258001 has 8 divisors (see below), whose sum is σ = 279680. Its totient is φ = 237168.

The previous prime is 257993. The next prime is 258019. The reversal of 258001 is 100852.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 258001 - 2³ = 257993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520 + ... + 886.

It is an arithmetic number, because the mean of its divisors is an integer number (34960).

2²⁵⁸⁰⁰¹ is an apocalyptic number.

It is an amenable number.

258001 is a deficient number, since it is larger than the sum of its proper divisors (21679).

258001 is a wasteful number, since it uses less digits than its factorization.

258001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 258001 is about 507.9379883411. The cubic root of 258001 is about 63.6610498534.

Adding to 258001 its reverse (100852), we get a palindrome (358853).

The spelling of 258001 in words is "two hundred fifty-eight thousand, one".