55813 has 2 divisors, whose sum is σ = 55814. Its totient is φ = 55812.

The previous prime is 55807. The next prime is 55817. The reversal of 55813 is 31855.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49729 + 6084 = 223^2 + 78^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-55813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55817) 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, 27906 + 27907.

It is an arithmetic number, because the mean of its divisors is an integer number (27907).

2⁵⁵⁸¹³ is an apocalyptic number.

It is an amenable number.

55813 is a deficient number, since it is larger than the sum of its proper divisors (1).

55813 is an equidigital number, since it uses as much as digits as its factorization.

55813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 600, while the sum is 22.

The square root of 55813 is about 236.2477513120. The cubic root of 55813 is about 38.2159906738.

It can be divided in two parts, 55 and 813, that added together give a palindrome (868).

The spelling of 55813 in words is "fifty-five thousand, eight hundred thirteen".