55313 has 2 divisors, whose sum is σ = 55314. Its totient is φ = 55312.

The previous prime is 55291. The next prime is 55331. The reversal of 55313 is 31355.

Together with next prime (55331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54289 + 1024 = 233^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 55313 - 2⁶ = 55249 is a prime.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 55291 and 55300.

It is not a weakly prime, because it can be changed into another prime (55333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27656 + 27657.

It is an arithmetic number, because the mean of its divisors is an integer number (27657).

2⁵⁵³¹³ is an apocalyptic number.

It is an amenable number.

55313 is a deficient number, since it is larger than the sum of its proper divisors (1).

55313 is an equidigital number, since it uses as much as digits as its factorization.

55313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 225, while the sum is 17.

The square root of 55313 is about 235.1871595134. The cubic root of 55313 is about 38.1015290454.

Adding to 55313 its reverse (31355), we get a palindrome (86668).

It can be divided in two parts, 5 and 5313, that multiplied together give a triangular number (26565 = T₂₃₀).

The spelling of 55313 in words is "fifty-five thousand, three hundred thirteen".