Search a number
7213 is a prime number

7213 has 2 divisors, whose sum is σ = 7214. Its totient is φ = 7212.

The previous prime is 7211. The next prime is 7219. The reversal of 7213 is 3127.

7213 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6889 + 324 = 83^2 + 18^2 .

It is a cyclic number.

It is not a de Polignac number, because 7213 - 21 = 7211 is a prime.

Together with 7211, it forms a pair of twin primes.

It is equal to p922 and since 7213 and 922 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 6 and base 12.

It is a junction number, because it is equal to n+sod(n) for n = 7193 and 7202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7211) 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 as a sum of consecutive naturals, namely, 3606 + 3607.

It is an arithmetic number, because the mean of its divisors is an integer number (3607).

27213 is an apocalyptic number.

It is an amenable number.

7213 is a deficient number, since it is larger than the sum of its proper divisors (1).

7213 is an equidigital number, since it uses as much as digits as its factorization.

7213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42, while the sum is 13.

The square root of 7213 is about 84.9293824303. The cubic root of 7213 is about 19.3214023361.

The spelling of 7213 in words is "seven thousand, two hundred thirteen".