36873 has 12 divisors (see below), whose sum is σ = 56628. Its totient is φ = 23040.

The previous prime is 36871. The next prime is 36877. The reversal of 36873 is 37863.

It is a happy number.

36873 is nontrivially palindromic in base 2, base 8 and base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 8649 = 168^2 + 93^2 .

It is not a de Polignac number, because 36873 - 2¹ = 36871 is a prime.

It is an Ulam number.

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 36873.

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 11 ways as a sum of consecutive naturals, for example, 33 + ... + 273.

It is an arithmetic number, because the mean of its divisors is an integer number (4719).

2³⁶⁸⁷³ is an apocalyptic number.

It is an amenable number.

36873 is a deficient number, since it is larger than the sum of its proper divisors (19755).

36873 is a wasteful number, since it uses less digits than its factorization.

36873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 261 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 36873 is about 192.0234360697. The cubic root of 36873 is about 33.2840493909.

Subtracting 36873 from its reverse (37863), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 368 and 73, that added together give a square (441 = 21²).

The spelling of 36873 in words is "thirty-six thousand, eight hundred seventy-three".