36784 has 30 divisors (see below), whose sum is σ = 82460. Its totient is φ = 15840.

The previous prime is 36781. The next prime is 36787. The reversal of 36784 is 48763.

36784 = 16² + 17² + ... + 48².

36784 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 (36781) and next prime (36787).

Its product of digits (4032) is a multiple of the sum of its prime divisors (32).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (36781) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1927 + ... + 1945.

2³⁶⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41230).

36784 is an abundant number, since it is smaller than the sum of its proper divisors (45676).

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

36784 is a wasteful number, since it uses less digits than its factorization.

36784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 32 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 36784 is about 191.7915535158. The cubic root of 36784 is about 33.2572486882.

It can be divided in two parts, 36 and 784, that multiplied together give a square (28224 = 168²).

The spelling of 36784 in words is "thirty-six thousand, seven hundred eighty-four".