5005903 has 16 divisors (see below), whose sum is σ = 5930496. Its totient is φ = 4137120.

The previous prime is 5005883. The next prime is 5005907. The reversal of 5005903 is 3095005.

5005903 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5005903 is a prime.

It is a Duffinian number.

5005903 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005907) 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 15 ways as a sum of consecutive naturals, for example, 38148 + ... + 38278.

It is an arithmetic number, because the mean of its divisors is an integer number (370656).

Almost surely, 2^5005903 is an apocalyptic number.

5005903 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

5005903 is a deficient number, since it is larger than the sum of its proper divisors (924593).

5005903 is a wasteful number, since it uses less digits than its factorization.

5005903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294.

The product of its (nonzero) digits is 675, while the sum is 22.

The square root of 5005903 is about 2237.3875390732. The cubic root of 5005903 is about 171.0648614563.

The spelling of 5005903 in words is "five million, five thousand, nine hundred three".