164003 has 6 divisors (see below), whose sum is σ = 190836. Its totient is φ = 140532.

The previous prime is 163997. The next prime is 164011. The reversal of 164003 is 300461.

It is not a de Polignac number, because 164003 - 2⁴ = 163987 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (164023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1625 + ... + 1722.

It is an arithmetic number, because the mean of its divisors is an integer number (31806).

2¹⁶⁴⁰⁰³ is an apocalyptic number.

164003 is a deficient number, since it is larger than the sum of its proper divisors (26833).

164003 is an equidigital number, since it uses as much as digits as its factorization.

164003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 164003 is about 404.9728385954. The cubic root of 164003 is about 54.7373705084.

Adding to 164003 its reverse (300461), we get a palindrome (464464).

The spelling of 164003 in words is "one hundred sixty-four thousand, three".