5064 has 16 divisors (see below), whose sum is σ = 12720. Its totient is φ = 1680.

The previous prime is 5059. The next prime is 5077. The reversal of 5064 is 4605.

It is a plaindrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82 + ... + 129.

It is an arithmetic number, because the mean of its divisors is an integer number (795).

2^{5064} is an apocalyptic number.

It is an amenable number.

5064 is an abundant number, since it is smaller than the sum of its proper divisors (7656).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360).

5064 is a wasteful number, since it uses less digits than its factorization.

5064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5064 is about 71.1617874986. The cubic root of 5064 is about 17.1724093438.

Adding to 5064 its product of nonzero digits (120), we get a square (5184 = 72^{2}).

Adding to 5064 its reverse (4605), we get a palindrome (9669).

The spelling of 5064 in words is "five thousand, sixty-four".

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