36774 has 20 divisors (see below), whose sum is σ = 82764. Its totient is φ = 12204.

The previous prime is 36767. The next prime is 36779. The reversal of 36774 is 47763.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

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 36774.

It is not an unprimeable number, because it can be changed into a prime (36779) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 49 + ... + 275.

2³⁶⁷⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41382).

36774 is an abundant number, since it is smaller than the sum of its proper divisors (45990).

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

36774 is a wasteful number, since it uses less digits than its factorization.

36774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 36774 is about 191.7654817740. The cubic root of 36774 is about 33.2542346727.

It can be divided in two parts, 367 and 74, that added together give a square (441 = 21²).

The spelling of 36774 in words is "thirty-six thousand, seven hundred seventy-four".