36273 has 8 divisors (see below), whose sum is σ = 49248. Its totient is φ = 23744.

The previous prime is 36269. The next prime is 36277. The reversal of 36273 is 37263.

Added to its reverse (37263) it gives a triangular number (73536 = T₃₈₃).

36273 is nontrivially palindromic in base 2.

36273 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36269) and next prime (36277).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36273 - 2² = 36269 is a prime.

It is a Curzon number.

36273 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36273.

It is not an unprimeable number, because it can be changed into a prime (36277) 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, 265 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (6156).

2³⁶²⁷³ is an apocalyptic number.

It is an amenable number.

36273 is a deficient number, since it is larger than the sum of its proper divisors (12975).

36273 is a wasteful number, since it uses less digits than its factorization.

36273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223.

The product of its digits is 756, while the sum is 21.

The square root of 36273 is about 190.4547190279. The cubic root of 36273 is about 33.1025277746.

Adding to 36273 its reverse (37263), we get a triangular number (73536 = T₃₈₃).

Subtracting 36273 from its reverse (37263), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 362 and 73, that added together give a triangular number (435 = T₂₉).

The spelling of 36273 in words is "thirty-six thousand, two hundred seventy-three".