55933 has 2 divisors, whose sum is σ = 55934. Its totient is φ = 55932.
The previous prime is 55931. The next prime is 55949. The reversal of 55933 is 33955.
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 40804 + 15129 = 202^2 + 123^2 .
It is a cyclic number.
It is not a de Polignac number, because 55933 - 21 = 55931 is a prime.
Together with 55931, it forms a pair of twin primes.
It is the 237-th Hogben number.
It is a plaindrome in base 15.
It is a junction number, because it is equal to n+sod(n) for n = 55898 and 55907.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (55931) 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, 27966 + 27967.
It is an arithmetic number, because the mean of its divisors is an integer number (27967).
255933 is an apocalyptic number.
It is an amenable number.
55933 is a deficient number, since it is larger than the sum of its proper divisors (1).
55933 is an equidigital number, since it uses as much as digits as its factorization.
55933 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 2025, while the sum is 25.
The square root of 55933 is about 236.5015856184. The cubic root of 55933 is about 38.2433596629.
It can be divided in two parts, 55 and 933, that multiplied together give a palindrome (51315).
The spelling of 55933 in words is "fifty-five thousand, nine hundred thirty-three".
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