45795 has 16 divisors (see below), whose sum is σ = 76032. Its totient is φ = 23520.

The previous prime is 45779. The next prime is 45817. The reversal of 45795 is 59754.

It is a Cunningham number, because it is equal to 214²-1.

It is not a de Polignac number, because 45795 - 2⁴ = 45779 is a prime.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610 + ... + 680.

It is an arithmetic number, because the mean of its divisors is an integer number (4752).

2⁴⁵⁷⁹⁵ is an apocalyptic number.

45795 is a deficient number, since it is larger than the sum of its proper divisors (30237).

45795 is a wasteful number, since it uses less digits than its factorization.

45795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122.

The product of its digits is 6300, while the sum is 30.

The square root of 45795 is about 213.9976635386. The cubic root of 45795 is about 35.7771730098. Note that the first 3 decimals are identical.

The spelling of 45795 in words is "forty-five thousand, seven hundred ninety-five".