• 5164² = 26666896 is the smallest square that contains exactly five digits '6'.

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5164 has 6 divisors (see below), whose sum is σ = 9044. Its totient is φ = 2580.

The previous prime is 5153. The next prime is 5167. The reversal of 5164 is 4615.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5167) 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 as a sum of consecutive naturals, namely, 642 + ... + 649.

2⁵¹⁶⁴ is an apocalyptic number.

It is an amenable number.

5164 is a deficient number, since it is larger than the sum of its proper divisors (3880).

5164 is a wasteful number, since it uses less digits than its factorization.

5164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1293 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 5164 is about 71.8609768929. The cubic root of 5164 is about 17.2847092218.

Adding to 5164 its reverse (4615), we get a palindrome (9779).

It can be divided in two parts, 5 and 164, that multiplied together give a triangular number (820 = T₄₀).

The spelling of 5164 in words is "five thousand, one hundred sixty-four".