36553 has 4 divisors (see below), whose sum is σ = 39888. Its totient is φ = 33220.

The previous prime is 36551. The next prime is 36559. The reversal of 36553 is 35563.

36553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 36553 - 2¹ = 36551 is a prime.

It is a super-2 number, since 2×36553² = 2672243618, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36551) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1651 + ... + 1672.

It is an arithmetic number, because the mean of its divisors is an integer number (9972).

2³⁶⁵⁵³ is an apocalyptic number.

It is an amenable number.

36553 is a deficient number, since it is larger than the sum of its proper divisors (3335).

36553 is a wasteful number, since it uses less digits than its factorization.

36553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334.

The product of its digits is 1350, while the sum is 22.

The square root of 36553 is about 191.1883887688. The cubic root of 36553 is about 33.1874850009.

Subtracting from 36553 its reverse (35563), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 3 and 6553, that added together give a palindrome (6556).

The spelling of 36553 in words is "thirty-six thousand, five hundred fifty-three".