581958 has 32 divisors (see below), whose sum is σ = 1394400. Its totient is φ = 178848.

The previous prime is 581953. The next prime is 581981. The reversal of 581958 is 859185.

It is a super-2 number, since 2×581958² = 677350227528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581953) by changing a digit.

581958 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288 + ... + 1116.

It is an arithmetic number, because the mean of its divisors is an integer number (43575).

2⁵⁸¹⁹⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 581958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697200).

581958 is an abundant number, since it is smaller than the sum of its proper divisors (812442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

581958 is a wasteful number, since it uses less digits than its factorization.

581958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 847 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 581958 is about 762.8617174823. The cubic root of 581958 is about 83.4892476623.

It can be divided in two parts, 58 and 1958, that added together give a triangular number (2016 = T₆₃).

The spelling of 581958 in words is "five hundred eighty-one thousand, nine hundred fifty-eight".