45759 has 8 divisors (see below), whose sum is σ = 69760. Its totient is φ = 26136.

The previous prime is 45757. The next prime is 45763. The reversal of 45759 is 95754.

45759 = T₂ + T₃ + ... + T₆₄.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 45759 - 2¹ = 45757 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 (45751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1069 + ... + 1110.

It is an arithmetic number, because the mean of its divisors is an integer number (8720).

2⁴⁵⁷⁵⁹ is an apocalyptic number.

45759 is a deficient number, since it is larger than the sum of its proper divisors (24001).

45759 is a wasteful number, since it uses less digits than its factorization.

45759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189.

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

The square root of 45759 is about 213.9135339337. The cubic root of 45759 is about 35.7677955969.

The spelling of 45759 in words is "forty-five thousand, seven hundred fifty-nine".