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86753 is a prime number
BaseRepresentation
bin10101001011100001
311102000002
4111023201
510234003
61505345
7510632
oct251341
9142002
1086753
115a1a7
1242255
1330644
1423889
151aa88
hex152e1

86753 has 2 divisors, whose sum is σ = 86754. Its totient is φ = 86752.

The previous prime is 86743. The next prime is 86767. The reversal of 86753 is 35768.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73984 + 12769 = 272^2 + 113^2 .

It is a cyclic number.

It is not a de Polignac number, because 86753 - 26 = 86689 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86753.

It is not a weakly prime, because it can be changed into another prime (86743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43376 + 43377.

It is an arithmetic number, because the mean of its divisors is an integer number (43377).

286753 is an apocalyptic number.

It is an amenable number.

86753 is a deficient number, since it is larger than the sum of its proper divisors (1).

86753 is an equidigital number, since it uses as much as digits as its factorization.

86753 is an evil number, because the sum of its binary digits is even.

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

The square root of 86753 is about 294.5386222552. The cubic root of 86753 is about 44.2685028008.

The spelling of 86753 in words is "eighty-six thousand, seven hundred fifty-three".