45735 has 8 divisors (see below), whose sum is σ = 73200. Its totient is φ = 24384.

The previous prime is 45707. The next prime is 45737. The reversal of 45735 is 53754.

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

It is not a de Polignac number, because 45735 - 2¹⁰ = 44711 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45737) 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, 1510 + ... + 1539.

It is an arithmetic number, because the mean of its divisors is an integer number (9150).

2⁴⁵⁷³⁵ is an apocalyptic number.

45735 is a deficient number, since it is larger than the sum of its proper divisors (27465).

45735 is a wasteful number, since it uses less digits than its factorization.

45735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057.

The product of its digits is 2100, while the sum is 24.

The square root of 45735 is about 213.8574291438. The cubic root of 45735 is about 35.7615412555.

It can be divided in two parts, 45 and 735, that added together give a triangular number (780 = T₃₉).

The spelling of 45735 in words is "forty-five thousand, seven hundred thirty-five".