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55331 is a prime number
BaseRepresentation
bin1101100000100011
32210220022
431200203
53232311
61104055
7320213
oct154043
983808
1055331
1138631
122802b
131c253
1416243
15115db
hexd823

55331 has 2 divisors, whose sum is σ = 55332. Its totient is φ = 55330.

The previous prime is 55313. The next prime is 55333. The reversal of 55331 is 13355.

Adding to 55331 its reverse (13355), we get a palindrome (68686).

Together with previous prime (55313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-55331 is a prime.

It is a super-2 number, since 2×553312 = 6123039122, which contains 22 as substring.

Together with 55333, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 10.

It is not a weakly prime, because it can be changed into another prime (55333) 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, 27665 + 27666.

It is an arithmetic number, because the mean of its divisors is an integer number (27666).

255331 is an apocalyptic number.

55331 is a deficient number, since it is larger than the sum of its proper divisors (1).

55331 is an equidigital number, since it uses as much as digits as its factorization.

55331 is an odious number, because the sum of its binary digits is odd.

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

The square root of 55331 is about 235.2254237960. The cubic root of 55331 is about 38.1056616070.

The spelling of 55331 in words is "fifty-five thousand, three hundred thirty-one".