581742 has 64 divisors (see below), whose sum is σ = 1574400. Its totient is φ = 157464.

The previous prime is 581731. The next prime is 581743. The reversal of 581742 is 247185.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581743) by changing a digit.

581742 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 31 ways as a sum of consecutive naturals, for example, 30609 + ... + 30627.

It is an arithmetic number, because the mean of its divisors is an integer number (24600).

581742 is a Friedman number, since it can be written as 81*7*(4^5+2), using all its digits and the basic arithmetic operations.

2⁵⁸¹⁷⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 581742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787200).

581742 is an abundant number, since it is smaller than the sum of its proper divisors (992658).

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

581742 is an equidigital number, since it uses as much as digits as its factorization.

581742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 31 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 581742 is about 762.7201321586. The cubic root of 581742 is about 83.4789170719.

The spelling of 581742 in words is "five hundred eighty-one thousand, seven hundred forty-two".