45591 has 16 divisors (see below), whose sum is σ = 75264. Its totient is φ = 23904.

The previous prime is 45589. The next prime is 45599. The reversal of 45591 is 19554.

45591 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45591 - 2¹ = 45589 is a prime.

45591 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45599) 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, 190 + ... + 356.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

2⁴⁵⁵⁹¹ is an apocalyptic number.

45591 is a deficient number, since it is larger than the sum of its proper divisors (29673).

45591 is a wasteful number, since it uses less digits than its factorization.

45591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190.

The product of its digits is 900, while the sum is 24.

The square root of 45591 is about 213.5204908200. The cubic root of 45591 is about 35.7239691837.

It can be divided in two parts, 4559 and 1, that added together give a triangular number (4560 = T₉₅).

The spelling of 45591 in words is "forty-five thousand, five hundred ninety-one".