36705 has 8 divisors (see below), whose sum is σ = 58752. Its totient is φ = 19568.

The previous prime is 36697. The next prime is 36709. The reversal of 36705 is 50763.

36705 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 36705 - 2³ = 36697 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (36709) 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, 1209 + ... + 1238.

It is an arithmetic number, because the mean of its divisors is an integer number (7344).

2³⁶⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

36705 is a deficient number, since it is larger than the sum of its proper divisors (22047).

36705 is a wasteful number, since it uses less digits than its factorization.

36705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 36705 is about 191.5854900560. The cubic root of 36705 is about 33.2334230595.

It can be divided in two parts, 36 and 705, that added together give a triangular number (741 = T₃₈).

The spelling of 36705 in words is "thirty-six thousand, seven hundred five".