164034 has 24 divisors (see below), whose sum is σ = 383292. Its totient is φ = 50400.

The previous prime is 164023. The next prime is 164039. The reversal of 164034 is 430461.

164034 = T₅₂ + T₅₃ + ... + T₁₀₃.

It can be written as a sum of positive squares in 2 ways, for example, as 164025 + 9 = 405^2 + 3^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 163998 and 164016.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164034.

It is not an unprimeable number, because it can be changed into a prime (164039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117 + ... + 584.

2¹⁶⁴⁰³⁴ is an apocalyptic number.

164034 is an abundant number, since it is smaller than the sum of its proper divisors (219258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164034 is a wasteful number, since it uses less digits than its factorization.

164034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 164034 is about 405.0111109587. The cubic root of 164034 is about 54.7408191274.

Adding to 164034 its reverse (430461), we get a palindrome (594495).

The spelling of 164034 in words is "one hundred sixty-four thousand, thirty-four".