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86369 is a prime number
BaseRepresentation
bin10101000101100001
311101110212
4111011201
510230434
61503505
7506543
oct250541
9141425
1086369
1159988
1241b95
133040a
1423693
151a8ce
hex15161

86369 has 2 divisors, whose sum is σ = 86370. Its totient is φ = 86368.

The previous prime is 86357. The next prime is 86371. The reversal of 86369 is 96368.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 18769 = 260^2 + 137^2 .

It is a cyclic number.

It is not a de Polignac number, because 86369 - 24 = 86353 is a prime.

It is a super-2 number, since 2×863692 = 14919208322, which contains 22 as substring.

Together with 86371, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (86389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43184 + 43185.

It is an arithmetic number, because the mean of its divisors is an integer number (43185).

286369 is an apocalyptic number.

It is an amenable number.

86369 is a deficient number, since it is larger than the sum of its proper divisors (1).

86369 is an equidigital number, since it uses as much as digits as its factorization.

86369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 32.

The square root of 86369 is about 293.8860323323. The cubic root of 86369 is about 44.2030900838.

Subtracting 86369 from its reverse (96368), we obtain a palindrome (9999).

The spelling of 86369 in words is "eighty-six thousand, three hundred sixty-nine".