5121 has 6 divisors (see below), whose sum is σ = 7410. Its totient is φ = 3408.

The previous prime is 5119. The next prime is 5147. The reversal of 5121 is 1215.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3600 + 1521 = 60^2 + 39^2 .

It is not a de Polignac number, because 5121 - 2¹ = 5119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 569 = 5121 / (5 + 1 + 2 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 276 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (1235).

It is a Proth number, since it is equal to 5 ⋅ 2¹⁰ + 1 and 5 < 2¹⁰.

2⁵¹²¹ is an apocalyptic number.

It is an amenable number.

5121 is a deficient number, since it is larger than the sum of its proper divisors (2289).

5121 is a wasteful number, since it uses less digits than its factorization.

5121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 572 counting only the distinct ones).

The product of its digits is 10, while the sum is 9.

The square root of 5121 is about 71.5611626513. The cubic root of 5121 is about 17.2365995486.

Adding to 5121 its reverse (1215), we get a palindrome (6336).

The spelling of 5121 in words is "five thousand, one hundred twenty-one".