36803 has 8 divisors (see below), whose sum is σ = 42000. Its totient is φ = 31968.

The previous prime is 36793. The next prime is 36809. The reversal of 36803 is 30863.

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 36803 - 2⁴ = 36787 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36803.

It is not an unprimeable number, because it can be changed into a prime (36809) 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, 173 + ... + 321.

It is an arithmetic number, because the mean of its divisors is an integer number (5250).

2³⁶⁸⁰³ is an apocalyptic number.

36803 is a deficient number, since it is larger than the sum of its proper divisors (5197).

36803 is a wasteful number, since it uses less digits than its factorization.

36803 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 36803 is about 191.8410800637. The cubic root of 36803 is about 33.2629738129.

The spelling of 36803 in words is "thirty-six thousand, eight hundred three".