5049 has 16 divisors (see below), whose sum is σ = 8640. Its totient is φ = 2880.

The previous prime is 5039. The next prime is 5051. The reversal of 5049 is 9405.

5049 is nontrivially palindromic in base 2 and base 7.

It is not a de Polignac number, because 5049 - 2⁸ = 4793 is a prime.

It is a super-3 number, since 3×5049³ = 386133397947, which contains 333 as substring.

It is an Ulam number.

It is a Curzon number.

5049 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5049.

It is not an unprimeable number, because it can be changed into a prime (5009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (540).

2⁵⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

5049 is a deficient number, since it is larger than the sum of its proper divisors (3591).

5049 is a wasteful number, since it uses less digits than its factorization.

5049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5049 is about 71.0563156940. The cubic root of 5049 is about 17.1554371946.

Subtracting 5049 from its reverse (9405), we obtain a square (4356 = 66²).

It can be divided in two parts, 50 and 49, that added together give a palindrome (99).

The spelling of 5049 in words is "five thousand, forty-nine".