34164 has 36 divisors (see below), whose sum is σ = 94276. Its totient is φ = 10368.

The previous prime is 34159. The next prime is 34171. The reversal of 34164 is 46143.

34164 = T₇ + T₈ + ... + T₅₈.

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 22500 = 108^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (288) is a multiple of the sum of its prime factors (96).

It is a nialpdrome in base 6 and base 14.

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 11 ways as a sum of consecutive naturals, for example, 432 + ... + 504.

2³⁴¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47138).

34164 is an abundant number, since it is smaller than the sum of its proper divisors (60112).

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

34164 is a wasteful number, since it uses less digits than its factorization.

34164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 91 counting only the distinct ones).

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

The square root of 34164 is about 184.8350616090. The cubic root of 34164 is about 32.4481223634.

The spelling of 34164 in words is "thirty-four thousand, one hundred sixty-four".