165903 has 8 divisors (see below), whose sum is σ = 234288. Its totient is φ = 104064.

The previous prime is 165901. The next prime is 165931. The reversal of 165903 is 309561.

165903 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 165903 - 2¹ = 165901 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

165903 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165901) 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, 1576 + ... + 1677.

It is an arithmetic number, because the mean of its divisors is an integer number (29286).

2¹⁶⁵⁹⁰³ is an apocalyptic number.

165903 is a deficient number, since it is larger than the sum of its proper divisors (68385).

165903 is a wasteful number, since it uses less digits than its factorization.

165903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 165903 is about 407.3119197863. The cubic root of 165903 is about 54.9479397186.

It can be divided in two parts, 16590 and 3, that multiplied together give a triangular number (49770 = T₃₁₅).

The spelling of 165903 in words is "one hundred sixty-five thousand, nine hundred three".