36735 has 16 divisors (see below), whose sum is σ = 61440. Its totient is φ = 18720.

The previous prime is 36721. The next prime is 36739. The reversal of 36735 is 53763.

36735 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 36735 - 2⁶ = 36671 is a prime.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36739) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426 + ... + 504.

It is an arithmetic number, because the mean of its divisors is an integer number (3840).

2³⁶⁷³⁵ is an apocalyptic number.

36735 is a deficient number, since it is larger than the sum of its proper divisors (24705).

36735 is a wasteful number, since it uses less digits than its factorization.

36735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118.

The product of its digits is 1890, while the sum is 24.

The square root of 36735 is about 191.6637680940. The cubic root of 36735 is about 33.2424747890.

The spelling of 36735 in words is "thirty-six thousand, seven hundred thirty-five".