558961 has 16 divisors (see below), whose sum is σ = 663040. Its totient is φ = 466560.

The previous prime is 558947. The next prime is 558973. The reversal of 558961 is 169855.

It is a 6-Lehmer number, since φ(558961) divides (558961-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 558961 - 2¹⁵ = 526193 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (558931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7621 + ... + 7693.

It is an arithmetic number, because the mean of its divisors is an integer number (41440).

2⁵⁵⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

558961 is a deficient number, since it is larger than the sum of its proper divisors (104079).

558961 is a wasteful number, since it uses less digits than its factorization.

558961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136.

The product of its digits is 10800, while the sum is 34.

The square root of 558961 is about 747.6369439775. The cubic root of 558961 is about 82.3746980630.

The spelling of 558961 in words is "five hundred fifty-eight thousand, nine hundred sixty-one".