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86113 is a prime number
BaseRepresentation
bin10101000001100001
311101010101
4111001201
510223423
61502401
7506026
oct250141
9141111
1086113
1159775
1241a01
1330271
142354d
151a7ad
hex15061

86113 has 2 divisors, whose sum is σ = 86114. Its totient is φ = 86112.

The previous prime is 86111. The next prime is 86117. The reversal of 86113 is 31168.

86113 = 2072 + 2082.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 42849 = 208^2 + 207^2 .

86113 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 86113 - 21 = 86111 is a prime.

Together with 86111, it forms a pair of twin primes.

It is equal to p8371 and since 86113 and 8371 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (86111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43056 + 43057.

It is an arithmetic number, because the mean of its divisors is an integer number (43057).

286113 is an apocalyptic number.

86113 is the 208-th centered square number.

It is an amenable number.

86113 is a deficient number, since it is larger than the sum of its proper divisors (1).

86113 is an equidigital number, since it uses as much as digits as its factorization.

86113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 144, while the sum is 19.

The square root of 86113 is about 293.4501661271. The cubic root of 86113 is about 44.1593738206.

Subtracting from 86113 its reverse (31168), we obtain a palindrome (54945).

The spelling of 86113 in words is "eighty-six thousand, one hundred thirteen".