35745 has 8 divisors (see below), whose sum is σ = 57216. Its totient is φ = 19056.

The previous prime is 35731. The next prime is 35747. The reversal of 35745 is 54753.

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

It is not a de Polignac number, because 35745 - 2⁴ = 35729 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 a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (35747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1177 + ... + 1206.

It is an arithmetic number, because the mean of its divisors is an integer number (7152).

2³⁵⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

35745 is a deficient number, since it is larger than the sum of its proper divisors (21471).

35745 is a wasteful number, since it uses less digits than its factorization.

35745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391.

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

The square root of 35745 is about 189.0634814024. The cubic root of 35745 is about 32.9411255126.

Subtracting from 35745 its sum of digits (24), we obtain a square (35721 = 189²).

It can be divided in two parts, 35 and 745, that added together give a triangular number (780 = T₃₉).

The spelling of 35745 in words is "thirty-five thousand, seven hundred forty-five".