34064 has 10 divisors (see below), whose sum is σ = 66030. Its totient is φ = 17024.

The previous prime is 34061. The next prime is 34123. The reversal of 34064 is 46043.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 8464 = 160^2 + 92^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (34061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1049 + ... + 1080.

It is an arithmetic number, because the mean of its divisors is an integer number (6603).

2³⁴⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

34064 is a deficient number, since it is larger than the sum of its proper divisors (31966).

34064 is a wasteful number, since it uses less digits than its factorization.

34064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 34064 is about 184.5643519209. The cubic root of 34064 is about 32.4164322479.

It can be divided in two parts, 340 and 64, that added together give a palindrome (404).

The spelling of 34064 in words is "thirty-four thousand, sixty-four", and thus it is an eban number.