5165 has 4 divisors (see below), whose sum is σ = 6204. Its totient is φ = 4128.

The previous prime is 5153. The next prime is 5167. The reversal of 5165 is 5615.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5615 = 5 ⋅1123.

It can be written as a sum of positive squares in 2 ways, for example, as 3721 + 1444 = 61^2 + 38^2 .

It is a cyclic number.

It is not a de Polignac number, because 5165 - 2⁶ = 5101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 512 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (1551).

2⁵¹⁶⁵ is an apocalyptic number.

It is an amenable number.

5165 is a deficient number, since it is larger than the sum of its proper divisors (1039).

5165 is a wasteful number, since it uses less digits than its factorization.

5165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038.

The product of its digits is 150, while the sum is 17.

The square root of 5165 is about 71.8679344353. The cubic root of 5165 is about 17.2858248681.

The spelling of 5165 in words is "five thousand, one hundred sixty-five".