36863 has 4 divisors (see below), whose sum is σ = 37248. Its totient is φ = 36480.

The previous prime is 36857. The next prime is 36871.

36863 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 192²-1.

36863 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 36863 - 2⁴ = 36847 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (9312).

2³⁶⁸⁶³ is an apocalyptic number.

36863 is a deficient number, since it is larger than the sum of its proper divisors (385).

36863 is a wasteful number, since it uses less digits than its factorization.

36863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384.

The product of its digits is 2592, while the sum is 26.

The square root of 36863 is about 191.9973958157. The cubic root of 36863 is about 33.2810402281.

The spelling of 36863 in words is "thirty-six thousand, eight hundred sixty-three".