588961 has 8 divisors (see below), whose sum is σ = 636480. Its totient is φ = 543312.

The previous prime is 588953. The next prime is 588977. The reversal of 588961 is 169885.

588961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 588961 - 2³ = 588953 is a prime.

It is a Duffinian number.

588961 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 588961.

It is not an unprimeable number, because it can be changed into a prime (588911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226 + ... + 1108.

It is an arithmetic number, because the mean of its divisors is an integer number (79560).

2⁵⁸⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

588961 is a deficient number, since it is larger than the sum of its proper divisors (47519).

588961 is a wasteful number, since it uses less digits than its factorization.

588961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935.

The product of its digits is 17280, while the sum is 37.

The square root of 588961 is about 767.4379453741. The cubic root of 588961 is about 83.8228029605.

The spelling of 588961 in words is "five hundred eighty-eight thousand, nine hundred sixty-one".