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55807 is a prime number
BaseRepresentation
bin1101100111111111
32211112221
431213333
53241212
61110211
7321463
oct154777
984487
1055807
1138a24
1228367
131c52b
14164a3
1511807
hexd9ff

55807 has 2 divisors, whose sum is σ = 55808. Its totient is φ = 55806.

The previous prime is 55799. The next prime is 55813. The reversal of 55807 is 70855.

It can be divided in two parts, 5580 and 7, that multiplied together give a triangular number (39060 = T279).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 55807 - 23 = 55799 is a prime.

It is a super-2 number, since 2×558072 = 6228842498, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27903 + 27904.

It is an arithmetic number, because the mean of its divisors is an integer number (27904).

255807 is an apocalyptic number.

55807 is a deficient number, since it is larger than the sum of its proper divisors (1).

55807 is an equidigital number, since it uses as much as digits as its factorization.

55807 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 55807 is about 236.2350524372. The cubic root of 55807 is about 38.2146211950.

The spelling of 55807 in words is "fifty-five thousand, eight hundred seven".