36764 has 24 divisors (see below), whose sum is σ = 79968. Its totient is φ = 14400.

The previous prime is 36761. The next prime is 36767. The reversal of 36764 is 46763.

It is an interprime number because it is at equal distance from previous prime (36761) and next prime (36767).

It is a Harshad number since it is a multiple of its sum of digits (26).

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 36764.

It is not an unprimeable number, because it can be changed into a prime (36761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314 + ... + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (3332).

2³⁶⁷⁶⁴ 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 36764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39984).

36764 is an abundant number, since it is smaller than the sum of its proper divisors (43204).

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

36764 is a wasteful number, since it uses less digits than its factorization.

36764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 123 counting only the distinct ones).

The product of its digits is 3024, while the sum is 26.

The square root of 36764 is about 191.7394064870. The cubic root of 36764 is about 33.2512201109.

Subtracting 36764 from its reverse (46763), we obtain a palindrome (9999).

The spelling of 36764 in words is "thirty-six thousand, seven hundred sixty-four".