258903 has 16 divisors (see below), whose sum is σ = 394240. Its totient is φ = 167832.

The previous prime is 258887. The next prime is 258917. The reversal of 258903 is 309852.

It is not a de Polignac number, because 258903 - 2⁴ = 258887 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

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 258903.

It is not an unprimeable number, because it can be changed into a prime (258983) 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 15 ways as a sum of consecutive naturals, for example, 1050 + ... + 1272.

It is an arithmetic number, because the mean of its divisors is an integer number (24640).

2²⁵⁸⁹⁰³ is an apocalyptic number.

258903 is a deficient number, since it is larger than the sum of its proper divisors (135337).

258903 is a wasteful number, since it uses less digits than its factorization.

258903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 258903 is about 508.8251173046. The cubic root of 258903 is about 63.7351522515.

The spelling of 258903 in words is "two hundred fifty-eight thousand, nine hundred three".