5211 has 8 divisors (see below), whose sum is σ = 7760. Its totient is φ = 3456.

The previous prime is 5209. The next prime is 5227. The reversal of 5211 is 1125.

It is a happy number.

It is not a de Polignac number, because 5211 - 2¹ = 5209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

5211 is a lucky number.

It is a plaindrome in base 13 and base 16.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 5193 and 5202.

It is not an unprimeable number, because it can be changed into a prime (5231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 123.

It is an arithmetic number, because the mean of its divisors is an integer number (970).

5211 is a deficient number, since it is larger than the sum of its proper divisors (2549).

5211 is a wasteful number, since it uses less digits than its factorization.

5211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

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

The square root of 5211 is about 72.1872564931. The cubic root of 5211 is about 17.3369896955.

Adding to 5211 its reverse (1125), we get a palindrome (6336).

It can be divided in two parts, 5 and 211, that added together give a cube (216 = 6³).

The spelling of 5211 in words is "five thousand, two hundred eleven".