36731 has 4 divisors (see below), whose sum is σ = 38352. Its totient is φ = 35112.

The previous prime is 36721. The next prime is 36739. The reversal of 36731 is 13763.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 36731 - 2¹⁴ = 20347 is a prime.

It is a super-2 number, since 2×36731² = 2698332722, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36731.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 776 + ... + 821.

It is an arithmetic number, because the mean of its divisors is an integer number (9588).

2³⁶⁷³¹ is an apocalyptic number.

36731 is a deficient number, since it is larger than the sum of its proper divisors (1621).

36731 is a wasteful number, since it uses less digits than its factorization.

36731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620.

The product of its digits is 378, while the sum is 20.

The square root of 36731 is about 191.6533328695. The cubic root of 36731 is about 33.2412681765.

It can be divided in two parts, 36 and 731, that added together give a palindrome (767).

The spelling of 36731 in words is "thirty-six thousand, seven hundred thirty-one".