36798 has 8 divisors (see below), whose sum is σ = 73608. Its totient is φ = 12264.

The previous prime is 36793. The next prime is 36809. The reversal of 36798 is 89763.

It is a happy number.

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

36798 is an admirable number.

It is a Curzon number.

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36798.

It is not an unprimeable number, because it can be changed into a prime (36791) 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, 3061 + ... + 3072.

It is an arithmetic number, because the mean of its divisors is an integer number (9201).

2³⁶⁷⁹⁸ is an apocalyptic number.

36798 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36804).

36798 is a wasteful number, since it uses less digits than its factorization.

36798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138.

The product of its digits is 9072, while the sum is 33.

The square root of 36798 is about 191.8280480013. The cubic root of 36798 is about 33.2614673922.

It can be divided in two parts, 367 and 98, that added together give a triangular number (465 = T₃₀).

The spelling of 36798 in words is "thirty-six thousand, seven hundred ninety-eight".