164045 has 16 divisors (see below), whose sum is σ = 232320. Its totient is φ = 108864.

The previous prime is 164039. The next prime is 164051. The reversal of 164045 is 540461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (164039) and next prime (164051).

It is not a de Polignac number, because 164045 - 2⁶ = 163981 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1451 + ... + 1559.

It is an arithmetic number, because the mean of its divisors is an integer number (14520).

2¹⁶⁴⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

164045 is a deficient number, since it is larger than the sum of its proper divisors (68275).

164045 is a wasteful number, since it uses less digits than its factorization.

164045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 164045 is about 405.0246906054. The cubic root of 164045 is about 54.7420427264.

Subtracting from 164045 its sum of digits (20), we obtain a square (164025 = 405²).

It can be divided in two parts, 1 and 64045, that added together give a palindrome (64046).

The spelling of 164045 in words is "one hundred sixty-four thousand, forty-five".