55213 has 2 divisors, whose sum is σ = 55214. Its totient is φ = 55212.

The previous prime is 55207. The next prime is 55217. The reversal of 55213 is 31255.

55213 is nontrivially palindromic in base 5.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 5929 = 222^2 + 77^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-55213 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27606 + 27607.

It is an arithmetic number, because the mean of its divisors is an integer number (27607).

2⁵⁵²¹³ is an apocalyptic number.

It is an amenable number.

55213 is a deficient number, since it is larger than the sum of its proper divisors (1).

55213 is an equidigital number, since it uses as much as digits as its factorization.

55213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 150, while the sum is 16.

The square root of 55213 is about 234.9744666980. The cubic root of 55213 is about 38.0785540285.

Adding to 55213 its reverse (31255), we get a palindrome (86468).

It can be divided in two parts, 552 and 13, that added together give a palindrome (565).

The spelling of 55213 in words is "fifty-five thousand, two hundred thirteen".