258349 has 16 divisors (see below), whose sum is σ = 338688. Its totient is φ = 191232.

The previous prime is 258337. The next prime is 258353. The reversal of 258349 is 943852.

It is a cyclic number.

It is not a de Polignac number, because 258349 - 2⁵ = 258317 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 258349.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464 + ... + 1630.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2²⁵⁸³⁴⁹ is an apocalyptic number.

It is an amenable number.

258349 is a deficient number, since it is larger than the sum of its proper divisors (80339).

258349 is a wasteful number, since it uses less digits than its factorization.

258349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its digits is 8640, while the sum is 31.

The square root of 258349 is about 508.2804344060. The cubic root of 258349 is about 63.6896596806.

The spelling of 258349 in words is "two hundred fifty-eight thousand, three hundred forty-nine".