45594 has 24 divisors (see below), whose sum is σ = 105300. Its totient is φ = 14208.

The previous prime is 45589. The next prime is 45599. The reversal of 45594 is 49554.

It is an interprime number because it is at equal distance from previous prime (45589) and next prime (45599).

It can be written as a sum of positive squares in 2 ways, for example, as 45369 + 225 = 213^2 + 15^2 .

It is a super-3 number, since 3×45594³ = 284344177333752, which contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

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 45594.

It is not an unprimeable number, because it can be changed into a prime (45599) by changing a digit.

45594 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232 + ... + 380.

2⁴⁵⁵⁹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52650).

45594 is an abundant number, since it is smaller than the sum of its proper divisors (59706).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45594 is a wasteful number, since it uses less digits than its factorization.

45594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 171 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 45594 is about 213.5275157913. The cubic root of 45594 is about 35.7247527416.

Adding to 45594 its product of digits (3600), we get a palindrome (49194).

The spelling of 45594 in words is "forty-five thousand, five hundred ninety-four".