5177 has 4 divisors (see below), whose sum is σ = 5376. Its totient is φ = 4980.

The previous prime is 5171. The next prime is 5179. The reversal of 5177 is 7715.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 7715 = 5 ⋅1543.

It is a cyclic number.

It is not a de Polignac number, because 5177 - 2⁶ = 5113 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5177.

It is not an unprimeable number, because it can be changed into a prime (5171) 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, 53 + ... + 114.

It is an arithmetic number, because the mean of its divisors is an integer number (1344).

2⁵¹⁷⁷ is an apocalyptic number.

It is an amenable number.

5177 is a deficient number, since it is larger than the sum of its proper divisors (199).

5177 is a wasteful number, since it uses less digits than its factorization.

5177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198.

The product of its digits is 245, while the sum is 20.

The square root of 5177 is about 71.9513724678. The cubic root of 5177 is about 17.2992014066.

It can be divided in two parts, 51 and 77, that added together give a 7-th power (128 = 2⁷).

The spelling of 5177 in words is "five thousand, one hundred seventy-seven".