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85853 is a prime number
BaseRepresentation
bin10100111101011101
311100202202
4110331131
510221403
61501245
7505205
oct247535
9140682
1085853
1159559
1241825
1330101
1423405
151a688
hex14f5d

85853 has 2 divisors, whose sum is σ = 85854. Its totient is φ = 85852.

The previous prime is 85847. The next prime is 85889. The reversal of 85853 is 35858.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85849 + 4 = 293^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 85853 - 24 = 85837 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85853.

It is not a weakly prime, because it can be changed into another prime (85843) 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, 42926 + 42927.

It is an arithmetic number, because the mean of its divisors is an integer number (42927).

285853 is an apocalyptic number.

It is an amenable number.

85853 is a deficient number, since it is larger than the sum of its proper divisors (1).

85853 is an equidigital number, since it uses as much as digits as its factorization.

85853 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4800, while the sum is 29.

The square root of 85853 is about 293.0068258591. The cubic root of 85853 is about 44.1148857182.

The spelling of 85853 in words is "eighty-five thousand, eight hundred fifty-three".