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86331 = 374111
BaseRepresentation
bin10101000100111011
311101102110
4111010323
510230311
61503403
7506460
oct250473
9141373
1086331
1159953
1241b63
13303ab
1423667
151a8a6
hex1513b

86331 has 8 divisors (see below), whose sum is σ = 131584. Its totient is φ = 49320.

The previous prime is 86323. The next prime is 86341. The reversal of 86331 is 13368.

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

It is not a de Polignac number, because 86331 - 23 = 86323 is a prime.

It is a super-2 number, since 2×863312 = 14906083122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 4111 = 86331 / (8 + 6 + 3 + 3 + 1).

It is a Duffinian number.

86331 is a lucky number.

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 = 86298 and 86307.

It is not an unprimeable number, because it can be changed into a prime (86311) 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, 2035 + ... + 2076.

It is an arithmetic number, because the mean of its divisors is an integer number (16448).

286331 is an apocalyptic number.

86331 is a deficient number, since it is larger than the sum of its proper divisors (45253).

86331 is a wasteful number, since it uses less digits than its factorization.

86331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121.

The product of its digits is 432, while the sum is 21.

The square root of 86331 is about 293.8213743076. The cubic root of 86331 is about 44.1966064155.

Adding to 86331 its reverse (13368), we get a palindrome (99699).

The spelling of 86331 in words is "eighty-six thousand, three hundred thirty-one".

Divisors: 1 3 7 21 4111 12333 28777 86331