43745 has 8 divisors (see below), whose sum is σ = 56616. Its totient is φ = 32256.

The previous prime is 43721. The next prime is 43753. The reversal of 43745 is 54734.

43745 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 64 + 43681 = 8^2 + 209^2 .

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 43745 - 2¹⁴ = 27361 is a prime.

It is a cake number, because a cake can be divided into 43745 parts by 64 planar cuts.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 43745.

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 43745.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (7077).

2⁴³⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

43745 is a deficient number, since it is larger than the sum of its proper divisors (12871).

43745 is a wasteful number, since it uses less digits than its factorization.

43745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691.

The product of its digits is 1680, while the sum is 23.

The square root of 43745 is about 209.1530540059. The cubic root of 43745 is about 35.2351512666.

The spelling of 43745 in words is "forty-three thousand, seven hundred forty-five".