36603 has 18 divisors (see below), whose sum is σ = 62244. Its totient is φ = 20664.

The previous prime is 36599. The next prime is 36607. The reversal of 36603 is 30663.

36603 is a `hidden beast` number, since 3 + 660 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (36599) and next prime (36607).

It is not a de Polignac number, because 36603 - 2² = 36599 is a prime.

36603 is a lucky number.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36603.

It is not an unprimeable number, because it can be changed into a prime (36607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 400 + ... + 482.

It is an arithmetic number, because the mean of its divisors is an integer number (3458).

2³⁶⁶⁰³ is an apocalyptic number.

36603 is a deficient number, since it is larger than the sum of its proper divisors (25641).

36603 is a wasteful number, since it uses less digits than its factorization.

36603 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 36603 is about 191.3191051620. The cubic root of 36603 is about 33.2026102365.

Subtracting from 36603 its sum of digits (18), we obtain a triangular number (36585 = T₂₇₀).

It can be divided in two parts, 3660 and 3, that added together give a palindrome (3663).

The spelling of 36603 in words is "thirty-six thousand, six hundred three".