258629 has 4 divisors (see below), whose sum is σ = 295584. Its totient is φ = 221676.

The previous prime is 258623. The next prime is 258631. The reversal of 258629 is 926852.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 258629 - 2⁴ = 258613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 258595 and 258604.

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 258629.

It is not an unprimeable number, because it can be changed into a prime (258623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18467 + ... + 18480.

It is an arithmetic number, because the mean of its divisors is an integer number (73896).

2²⁵⁸⁶²⁹ is an apocalyptic number.

It is an amenable number.

258629 is a deficient number, since it is larger than the sum of its proper divisors (36955).

258629 is an equidigital number, since it uses as much as digits as its factorization.

258629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36954.

The product of its digits is 8640, while the sum is 32.

The square root of 258629 is about 508.5557983152. Note that the first 3 decimals coincide. The cubic root of 258629 is about 63.7126604355.

The spelling of 258629 in words is "two hundred fifty-eight thousand, six hundred twenty-nine".