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36857 is a prime number
BaseRepresentation
bin1000111111111001
31212120002
420333321
52134412
6442345
7212312
oct107771
955502
1036857
1125767
12193b5
1313a12
14d609
15adc2
hex8ff9

36857 has 2 divisors, whose sum is σ = 36858. Its totient is φ = 36856.

The previous prime is 36847. The next prime is 36871. The reversal of 36857 is 75863.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32761 + 4096 = 181^2 + 64^2 .

It is a cyclic number.

It is not a de Polignac number, because 36857 - 26 = 36793 is a prime.

It is a pancake number, because a pancake can be divided into 36857 parts by 271 straight cuts.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36857.

It is not a weakly prime, because it can be changed into another prime (36847) 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, 18428 + 18429.

It is an arithmetic number, because the mean of its divisors is an integer number (18429).

236857 is an apocalyptic number.

It is an amenable number.

36857 is a deficient number, since it is larger than the sum of its proper divisors (1).

36857 is an equidigital number, since it uses as much as digits as its factorization.

36857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 29.

The square root of 36857 is about 191.9817699679. The cubic root of 36857 is about 33.2792344691.

The spelling of 36857 in words is "thirty-six thousand, eight hundred fifty-seven".