36882 has 16 divisors (see below), whose sum is σ = 82080. Its totient is φ = 12276.

The previous prime is 36877. The next prime is 36887. The reversal of 36882 is 28863.

36882 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (36877) and next prime (36887).

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

It is a plaindrome in base 11.

It is a nialpdrome in base 9.

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36882.

It is not an unprimeable number, because it can be changed into a prime (36887) 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, 288 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2³⁶⁸⁸² is an apocalyptic number.

36882 is an abundant number, since it is smaller than the sum of its proper divisors (45198).

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 (41040).

36882 is a wasteful number, since it uses less digits than its factorization.

36882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 36882 is about 192.0468692794. The cubic root of 36882 is about 33.2867571724.

The spelling of 36882 in words is "thirty-six thousand, eight hundred eighty-two".