258973 has 8 divisors (see below), whose sum is σ = 304416. Its totient is φ = 217200.

The previous prime is 258971. The next prime is 258977. The reversal of 258973 is 379852.

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 258973 - 2¹ = 258971 is a prime.

It is a Duffinian number.

258973 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258971) 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, 763 + ... + 1048.

It is an arithmetic number, because the mean of its divisors is an integer number (38052).

2²⁵⁸⁹⁷³ is an apocalyptic number.

It is an amenable number.

258973 is a deficient number, since it is larger than the sum of its proper divisors (45443).

258973 is a wasteful number, since it uses less digits than its factorization.

258973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835.

The product of its digits is 15120, while the sum is 34.

The square root of 258973 is about 508.8938985683. The cubic root of 258973 is about 63.7408957907.

It can be divided in two parts, 2589 and 73, that added together give a palindrome (2662).

The spelling of 258973 in words is "two hundred fifty-eight thousand, nine hundred seventy-three".