45845 has 8 divisors (see below), whose sum is σ = 56376. Its totient is φ = 35776.

The previous prime is 45841. The next prime is 45853. The reversal of 45845 is 54854.

45845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17956 + 27889 = 134^2 + 167^2 .

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 45845 - 2² = 45841 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45841) 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, 179 + ... + 351.

It is an arithmetic number, because the mean of its divisors is an integer number (7047).

2⁴⁵⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

45845 is a deficient number, since it is larger than the sum of its proper divisors (10531).

45845 is a wasteful number, since it uses less digits than its factorization.

45845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231.

The product of its digits is 3200, while the sum is 26.

The square root of 45845 is about 214.1144553738. The cubic root of 45845 is about 35.7901890451.

Subtracting 45845 from its reverse (54854), we obtain a palindrome (9009).

It can be divided in two parts, 45 and 845, that multiplied together give a square (38025 = 195²).

The spelling of 45845 in words is "forty-five thousand, eight hundred forty-five".