36810 has 24 divisors (see below), whose sum is σ = 95940. Its totient is φ = 9792.

The previous prime is 36809. The next prime is 36821. The reversal of 36810 is 1863.

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 1089 = 189^2 + 33^2 .

It is a super-2 number, since 2×36810² = 2709952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36810.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115 + ... + 294.

2³⁶⁸¹⁰ is an apocalyptic number.

36810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36810 is an abundant number, since it is smaller than the sum of its proper divisors (59130).

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 (47970).

36810 is a wasteful number, since it uses less digits than its factorization.

36810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 36810 is about 191.8593234638. The cubic root of 36810 is about 33.2650825726.

It can be divided in two parts, 368 and 10, that added together give a triangular number (378 = T₂₇).

The spelling of 36810 in words is "thirty-six thousand, eight hundred ten".