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55931 is a prime number
BaseRepresentation
bin1101101001111011
32211201112
431221323
53242211
61110535
7322031
oct155173
984645
1055931
1139027
122844b
131c5c5
1416551
151188b
hexda7b

55931 has 2 divisors, whose sum is σ = 55932. Its totient is φ = 55930.

The previous prime is 55927. The next prime is 55933. The reversal of 55931 is 13955.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 55931 - 22 = 55927 is a prime.

It is a super-2 number, since 2×559312 = 6256553522, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 55933, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 55897 and 55906.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55931.

It is not a weakly prime, because it can be changed into another prime (55933) 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, 27965 + 27966.

It is an arithmetic number, because the mean of its divisors is an integer number (27966).

255931 is an apocalyptic number.

55931 is a deficient number, since it is larger than the sum of its proper divisors (1).

55931 is an equidigital number, since it uses as much as digits as its factorization.

55931 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 675, while the sum is 23.

The square root of 55931 is about 236.4973572791. The cubic root of 55931 is about 38.2429038340.

The spelling of 55931 in words is "fifty-five thousand, nine hundred thirty-one".