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86135 = 5723107
BaseRepresentation
bin10101000001110111
311101011012
4111001313
510224020
61502435
7506060
oct250167
9141135
1086135
1159795
1241a1b
133028a
1423567
151a7c5
hex15077

86135 has 16 divisors (see below), whose sum is σ = 124416. Its totient is φ = 55968.

The previous prime is 86131. The next prime is 86137. The reversal of 86135 is 53168.

86135 is nontrivially palindromic in base 11.

It is a cyclic number.

It is not a de Polignac number, because 86135 - 22 = 86131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 86135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752 + ... + 858.

It is an arithmetic number, because the mean of its divisors is an integer number (7776).

286135 is an apocalyptic number.

86135 is a deficient number, since it is larger than the sum of its proper divisors (38281).

86135 is a wasteful number, since it uses less digits than its factorization.

With its successor (86136) it forms an eRAP, since the sums of their prime factors are consecutive (142 and 143).

86135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142.

The product of its digits is 720, while the sum is 23.

The square root of 86135 is about 293.4876488031. The cubic root of 86135 is about 44.1631340871.

It can be divided in two parts, 861 and 35, that multiplied together give a triangular number (30135 = T245).

The spelling of 86135 in words is "eighty-six thousand, one hundred thirty-five".

Divisors: 1 5 7 23 35 107 115 161 535 749 805 2461 3745 12305 17227 86135