258961 has 4 divisors (see below), whose sum is σ = 274212. Its totient is φ = 243712.

The previous prime is 258959. The next prime is 258967. The reversal of 258961 is 169852.

258961 = T₄₁₄ + T₄₁₅ + T₄₁₆.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 118336 + 140625 = 344^2 + 375^2 .

It is not a de Polignac number, because 258961 - 2¹ = 258959 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258967) 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 3 ways as a sum of consecutive naturals, for example, 7600 + ... + 7633.

It is an arithmetic number, because the mean of its divisors is an integer number (68553).

2²⁵⁸⁹⁶¹ is an apocalyptic number.

258961 is the 416-th centered triangular number.

It is an amenable number.

258961 is a deficient number, since it is larger than the sum of its proper divisors (15251).

258961 is a wasteful number, since it uses less digits than its factorization.

258961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15250.

The product of its digits is 4320, while the sum is 31.

The square root of 258961 is about 508.8821081547. The cubic root of 258961 is about 63.7399112575.

The spelling of 258961 in words is "two hundred fifty-eight thousand, nine hundred sixty-one".