36743 has 8 divisors (see below), whose sum is σ = 43680. Its totient is φ = 30240.

The previous prime is 36739. The next prime is 36749. The reversal of 36743 is 34763.

36743 is nontrivially palindromic in base 9.

36743 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

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

It is not a de Polignac number, because 36743 - 2² = 36739 is a prime.

It is a d-powerful number, because it can be written as 3⁵ + 6 + 7⁵ + 4 + 3⁹ .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36749) 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, 113 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2³⁶⁷⁴³ is an apocalyptic number.

36743 is a deficient number, since it is larger than the sum of its proper divisors (6937).

36743 is a wasteful number, since it uses less digits than its factorization.

36743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

The product of its digits is 1512, while the sum is 23.

The square root of 36743 is about 191.6846368387. The cubic root of 36743 is about 33.2448877512.

The spelling of 36743 in words is "thirty-six thousand, seven hundred forty-three".