258824 has 8 divisors (see below), whose sum is σ = 485310. Its totient is φ = 129408.

The previous prime is 258809. The next prime is 258827. The reversal of 258824 is 428852.

258824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 174724 + 84100 = 418^2 + 290^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (258827) by changing a digit.

258824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16169 + ... + 16184.

2²⁵⁸⁸²⁴ is an apocalyptic number.

It is an amenable number.

258824 is a deficient number, since it is larger than the sum of its proper divisors (226486).

258824 is a wasteful number, since it uses less digits than its factorization.

258824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32359 (or 32355 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 258824 is about 508.7474815662. The cubic root of 258824 is about 63.7286690136.

The spelling of 258824 in words is "two hundred fifty-eight thousand, eight hundred twenty-four".