5157 has 8 divisors (see below), whose sum is σ = 7680. Its totient is φ = 3420.

The previous prime is 5153. The next prime is 5167. The reversal of 5157 is 7515.

It is a happy number.

It is not a de Polignac number, because 5157 - 2² = 5153 is a prime.

5157 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5153) 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 in 7 ways as a sum of consecutive naturals, for example, 69 + ... + 122.

It is an arithmetic number, because the mean of its divisors is an integer number (960).

2⁵¹⁵⁷ is an apocalyptic number.

It is an amenable number.

5157 is a deficient number, since it is larger than the sum of its proper divisors (2523).

5157 is a wasteful number, since it uses less digits than its factorization.

5157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its digits is 175, while the sum is 18.

The square root of 5157 is about 71.8122552215. The cubic root of 5157 is about 17.2768956615.

The spelling of 5157 in words is "five thousand, one hundred fifty-seven".