581007 has 16 divisors (see below), whose sum is σ = 899840. Its totient is φ = 326592.

The previous prime is 580997. The next prime is 581029. The reversal of 581007 is 700185.

It is a happy number.

It is not a de Polignac number, because 581007 - 2¹⁰ = 579983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 581007.

It is not an unprimeable number, because it can be changed into a prime (581047) 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, 1344 + ... + 1722.

It is an arithmetic number, because the mean of its divisors is an integer number (56240).

2⁵⁸¹⁰⁰⁷ is an apocalyptic number.

581007 is a deficient number, since it is larger than the sum of its proper divisors (318833).

581007 is a wasteful number, since it uses less digits than its factorization.

581007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 581007 is about 762.2381517610. The cubic root of 581007 is about 83.4437452016.

The spelling of 581007 in words is "five hundred eighty-one thousand, seven".