258345 has 12 divisors (see below), whose sum is σ = 447876. Its totient is φ = 137760.

The previous prime is 258337. The next prime is 258353. The reversal of 258345 is 543852.

It is an interprime number because it is at equal distance from previous prime (258337) and next prime (258353).

It can be written as a sum of positive squares in 2 ways, for example, as 110889 + 147456 = 333^2 + 384^2 .

It is not a de Polignac number, because 258345 - 2³ = 258337 is a prime.

It is a d-powerful number, because it can be written as 2¹⁶ + 5² + 3¹¹ + 8 + 4 + 5⁶ .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2826 + ... + 2915.

It is an arithmetic number, because the mean of its divisors is an integer number (37323).

2²⁵⁸³⁴⁵ is an apocalyptic number.

It is an amenable number.

258345 is a deficient number, since it is larger than the sum of its proper divisors (189531).

258345 is a wasteful number, since it uses less digits than its factorization.

258345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5752 (or 5749 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 258345 is about 508.2764995551. The cubic root of 258345 is about 63.6893309780.

It can be divided in two parts, 2583 and 45, that added together give a triangular number (2628 = T₇₂).

The spelling of 258345 in words is "two hundred fifty-eight thousand, three hundred forty-five".