36876 has 24 divisors (see below), whose sum is σ = 98560. Its totient is φ = 10512.

The previous prime is 36871. The next prime is 36877. The reversal of 36876 is 67863.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36876.

It is not an unprimeable number, because it can be changed into a prime (36871) by changing a digit.

36876 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136 + ... + 303.

2³⁶⁸⁷⁶ is an apocalyptic number.

It is an amenable number.

36876 is an abundant number, since it is smaller than the sum of its proper divisors (61684).

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 (49280).

36876 is a wasteful number, since it uses less digits than its factorization.

36876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 451 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 36876 is about 192.0312474573. The cubic root of 36876 is about 33.2849520337.

Adding to 36876 its product of digits (6048), we get a palindrome (42924).

It can be divided in two parts, 3687 and 6, that multiplied together give a palindrome (22122).

The spelling of 36876 in words is "thirty-six thousand, eight hundred seventy-six".