83581 has 8 divisors (see below), whose sum is σ = 90720. Its totient is φ = 76752.

The previous prime is 83579. The next prime is 83591. The reversal of 83581 is 18538.

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 83581 - 2¹ = 83579 is a prime.

It is a super-2 number, since 2×83581² = 13971567122, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83561) 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, 966 + ... + 1048.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2⁸³⁵⁸¹ is an apocalyptic number.

It is an amenable number.

83581 is a deficient number, since it is larger than the sum of its proper divisors (7139).

83581 is a wasteful number, since it uses less digits than its factorization.

83581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155.

The product of its digits is 960, while the sum is 25.

The square root of 83581 is about 289.1037875919. The cubic root of 83581 is about 43.7222517923.

Subtracting from 83581 its product of digits (960), we obtain a triangular number (82621 = T₄₀₆).

The spelling of 83581 in words is "eighty-three thousand, five hundred eighty-one".