258769 has 6 divisors (see below), whose sum is σ = 301074. Its totient is φ = 221760.

The previous prime is 258763. The next prime is 258779. The reversal of 258769 is 967852.

It can be written as a sum of positive squares in only one way, i.e., 176400 + 82369 = 420^2 + 287^2 .

It is not a de Polignac number, because 258769 - 2⁵ = 258737 is a prime.

It is a super-2 number, since 2×258769² = 133922790722, which contains 22 as substring.

It is an Ulam number.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258763) 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 5 ways as a sum of consecutive naturals, for example, 2592 + ... + 2689.

It is an arithmetic number, because the mean of its divisors is an integer number (50179).

2²⁵⁸⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

258769 is a deficient number, since it is larger than the sum of its proper divisors (42305).

258769 is an equidigital number, since it uses as much as digits as its factorization.

258769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5288 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 258769 is about 508.6934243727. The cubic root of 258769 is about 63.7241545879.

It can be divided in two parts, 2587 and 69, that multiplied together give a triangular number (178503 = T₅₉₇).

The spelling of 258769 in words is "two hundred fifty-eight thousand, seven hundred sixty-nine".