36003 has 8 divisors (see below), whose sum is σ = 52416. Its totient is φ = 21800.

The previous prime is 35999. The next prime is 36007. The reversal of 36003 is 30063.

Added to its reverse (30063) it gives a triangular number (66066 = T₃₆₃).

36003 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (35999) and next prime (36007).

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 36003 - 2² = 35999 is a prime.

36003 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 36003.

It is not an unprimeable number, because it can be changed into a prime (36007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2³⁶⁰⁰³ is an apocalyptic number.

36003 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

36003 is a deficient number, since it is larger than the sum of its proper divisors (16413).

36003 is a wasteful number, since it uses less digits than its factorization.

36003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 36003 is about 189.7445651396. The cubic root of 36003 is about 33.0201896655.

Adding to 36003 its reverse (30063), we get a palindrome (66066).

It can be divided in two parts, 3 and 6003, that added together give a palindrome (6006).

The spelling of 36003 in words is "thirty-six thousand, three".