36763 has 4 divisors (see below), whose sum is σ = 37240. Its totient is φ = 36288.

The previous prime is 36761. The next prime is 36767.

It is a happy number.

36763 is nontrivially palindromic in base 10.

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 36763 - 2¹ = 36761 is a prime.

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

It is a Duffinian number.

36763 is a lucky number.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (36761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93 + ... + 286.

It is an arithmetic number, because the mean of its divisors is an integer number (9310).

2³⁶⁷⁶³ is an apocalyptic number.

36763 is a deficient number, since it is larger than the sum of its proper divisors (477).

36763 is an equidigital number, since it uses as much as digits as its factorization.

36763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476.

The product of its digits is 2268, while the sum is 25.

The square root of 36763 is about 191.7367987633. The cubic root of 36763 is about 33.2509186246.

The spelling of 36763 in words is "thirty-six thousand, seven hundred sixty-three".