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86333 = 1329229
BaseRepresentation
bin10101000100111101
311101102112
4111010331
510230313
61503405
7506462
oct250475
9141375
1086333
1159955
1241b65
13303b0
1423669
151a8a8
hex1513d

86333 has 8 divisors (see below), whose sum is σ = 96600. Its totient is φ = 76608.

The previous prime is 86323. The next prime is 86341. The reversal of 86333 is 33368.

It can be written as a sum of positive squares in 4 ways, for example, as 17689 + 68644 = 133^2 + 262^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 86333 - 26 = 86269 is a prime.

It is a Duffinian number.

86333 is a modest number, since divided by 333 gives 86 as remainder.

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86299 and 86308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (12075).

286333 is an apocalyptic number.

It is an amenable number.

86333 is a deficient number, since it is larger than the sum of its proper divisors (10267).

86333 is a wasteful number, since it uses less digits than its factorization.

86333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271.

The product of its digits is 1296, while the sum is 23.

The square root of 86333 is about 293.8247777162. The cubic root of 86333 is about 44.1969477087.

The spelling of 86333 in words is "eighty-six thousand, three hundred thirty-three".

Divisors: 1 13 29 229 377 2977 6641 86333