36801 has 16 divisors (see below), whose sum is σ = 57600. Its totient is φ = 23184.

The previous prime is 36793. The next prime is 36809. The reversal of 36801 is 10863.

36801 is nontrivially palindromic in base 8.

36801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36793) and next prime (36809).

It is not a de Polignac number, because 36801 - 2³ = 36793 is a prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36801.

It is not an unprimeable number, because it can be changed into a prime (36809) 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, 760 + ... + 806.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2³⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

36801 is a deficient number, since it is larger than the sum of its proper divisors (20799).

36801 is a wasteful number, since it uses less digits than its factorization.

36801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 36801 is about 191.8358673450. The cubic root of 36801 is about 33.2623712610.

The spelling of 36801 in words is "thirty-six thousand, eight hundred one".