36870 has 16 divisors (see below), whose sum is σ = 88560. Its totient is φ = 9824.

The previous prime is 36857. The next prime is 36871. The reversal of 36870 is 7863.

36870 is nontrivially palindromic in base 4.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 36870.

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 36870.

It is not an unprimeable number, because it can be changed into a prime (36871) 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, 585 + ... + 644.

It is an arithmetic number, because the mean of its divisors is an integer number (5535).

2³⁶⁸⁷⁰ is an apocalyptic number.

36870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36870 is an abundant number, since it is smaller than the sum of its proper divisors (51690).

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 (44280).

36870 is a wasteful number, since it uses less digits than its factorization.

36870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 36870 is about 192.0156243643. The cubic root of 36870 is about 33.2831466992.

The spelling of 36870 in words is "thirty-six thousand, eight hundred seventy".