5084 has 12 divisors (see below), whose sum is σ = 9408. Its totient is φ = 2400.

The previous prime is 5081. The next prime is 5087. The reversal of 5084 is 4805.

It is an interprime number because it is at equal distance from previous prime (5081) and next prime (5087).

5084 is an undulating number in base 9.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5081) 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, 104 + ... + 144.

It is an arithmetic number, because the mean of its divisors is an integer number (784).

2⁵⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

5084 is a deficient number, since it is larger than the sum of its proper divisors (4324).

5084 is a wasteful number, since it uses less digits than its factorization.

5084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 5084 is about 71.3021738799. The cubic root of 5084 is about 17.1949868209.

Adding to 5084 its reverse (4805), we get a palindrome (9889).

It can be divided in two parts, 508 and 4, that added together give a 9-th power (512 = 2⁹).

The spelling of 5084 in words is "five thousand, eighty-four".