4064 has 12 divisors (see below), whose sum is σ = 8064. Its totient is φ = 2016.

The previous prime is 4057. The next prime is 4073. The reversal of 4064 is 4604.

It is a happy number.

It is a plaindrome in base 5.

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2.

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 as a sum of consecutive naturals, namely, 32 + ... + 95.

It is an arithmetic number, because the mean of its divisors is an integer number (672).

It is an amenable number.

4064 is a deficient number, since it is larger than the sum of its proper divisors (4000).

4064 is a wasteful number, since it uses less digits than its factorization.

4064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4064 is about 63.7495098020. The cubic root of 4064 is about 15.9582243530.

Adding to 4064 its reverse (4604), we get a palindrome (8668).

The spelling of 4064 in words is "four thousand, sixty-four", and thus it is an eban number.

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