13583 has 6 divisors (see below), whose sum is σ = 14736. Its totient is φ = 12512.

The previous prime is 13577. The next prime is 13591. The reversal of 13583 is 38531.

It is not a de Polignac number, because 13583 - 2⁴ = 13567 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13513) 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, 266 + ... + 312.

It is an arithmetic number, because the mean of its divisors is an integer number (2456).

2¹³⁵⁸³ is an apocalyptic number.

13583 is a deficient number, since it is larger than the sum of its proper divisors (1153).

13583 is an equidigital number, since it uses as much as digits as its factorization.

13583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 13583 is about 116.5461282068. The cubic root of 13583 is about 23.8597139984.

The spelling of 13583 in words is "thirteen thousand, five hundred eighty-three".