258417 has 16 divisors (see below), whose sum is σ = 406080. Its totient is φ = 161856.

The previous prime is 258413. The next prime is 258421. The reversal of 258417 is 714852.

It is an interprime number because it is at equal distance from previous prime (258413) and next prime (258421).

It is not a de Polignac number, because 258417 - 2² = 258413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258417.

It is not an unprimeable number, because it can be changed into a prime (258413) 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, 178 + ... + 740.

It is an arithmetic number, because the mean of its divisors is an integer number (25380).

2²⁵⁸⁴¹⁷ is an apocalyptic number.

258417 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

258417 is a deficient number, since it is larger than the sum of its proper divisors (147663).

258417 is a wasteful number, since it uses less digits than its factorization.

258417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 258417 is about 508.3473222119. The cubic root of 258417 is about 63.6952471055.

It can be divided in two parts, 2584 and 17, that added together give a square (2601 = 51²).

The spelling of 258417 in words is "two hundred fifty-eight thousand, four hundred seventeen".