258741 has 24 divisors (see below), whose sum is σ = 450240. Its totient is φ = 143856.

The previous prime is 258737. The next prime is 258743. The reversal of 258741 is 147852.

It is not a de Polignac number, because 258741 - 2² = 258737 is a prime.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6975 + ... + 7011.

It is an arithmetic number, because the mean of its divisors is an integer number (18760).

2²⁵⁸⁷⁴¹ is an apocalyptic number.

258741 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

258741 is a deficient number, since it is larger than the sum of its proper divisors (191499).

258741 is an equidigital number, since it uses as much as digits as its factorization.

258741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

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

The square root of 258741 is about 508.6659021401. The cubic root of 258741 is about 63.7218560892.

Subtracting from 258741 its reverse (147852), we obtain a square (110889 = 333²).

It can be divided in two parts, 2587 and 41, that added together give a triangular number (2628 = T₇₂).

The spelling of 258741 in words is "two hundred fifty-eight thousand, seven hundred forty-one".