581967 has 6 divisors (see below), whose sum is σ = 840632. Its totient is φ = 387972.

The previous prime is 581953. The next prime is 581981. The reversal of 581967 is 769185.

581967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (581953) and next prime (581981).

It is not a de Polignac number, because 581967 - 2¹⁴ = 565583 is a prime.

It is a Duffinian number.

581967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581947) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32323 + ... + 32340.

2⁵⁸¹⁹⁶⁷ is an apocalyptic number.

581967 is a deficient number, since it is larger than the sum of its proper divisors (258665).

581967 is a wasteful number, since it uses less digits than its factorization.

581967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64669 (or 64666 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 581967 is about 762.8676163005. The cubic root of 581967 is about 83.4896780481.

It can be divided in two parts, 5819 and 67, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 581967 in words is "five hundred eighty-one thousand, nine hundred sixty-seven".