13575903 has 16 divisors (see below), whose sum is σ = 20169216. Its totient is φ = 8051840.

The previous prime is 13575889. The next prime is 13575907. The reversal of 13575903 is 30957531.

It is a cyclic number.

It is not a de Polignac number, because 13575903 - 2⁵ = 13575871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13575907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2826 + ... + 5927.

It is an arithmetic number, because the mean of its divisors is an integer number (1260576).

Almost surely, 2^13575903 is an apocalyptic number.

13575903 is a deficient number, since it is larger than the sum of its proper divisors (6593313).

13575903 is a wasteful number, since it uses less digits than its factorization.

13575903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8814.

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 13575903 is about 3684.5492261605. The cubic root of 13575903 is about 238.5555777636. Note that the first 4 decimals are identical.

It can be divided in two parts, 1357 and 5903, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 13575903 in words is "thirteen million, five hundred seventy-five thousand, nine hundred three".