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86172 = 22343167
BaseRepresentation
bin10101000010011100
311101012120
4111002130
510224142
61502540
7506142
oct250234
9141176
1086172
1159819
1241a50
13302b8
1423592
151a7ec
hex1509c

86172 has 24 divisors (see below), whose sum is σ = 206976. Its totient is φ = 27888.

The previous prime is 86171. The next prime is 86179. The reversal of 86172 is 27168.

It is a super-2 number, since 2×861722 = 14851227168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (8624).

286172 is an apocalyptic number.

It is an amenable number.

86172 is an abundant number, since it is smaller than the sum of its proper divisors (120804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103488).

86172 is a wasteful number, since it uses less digits than its factorization.

86172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 86172 is about 293.5506770559. The cubic root of 86172 is about 44.1694567281.

The spelling of 86172 in words is "eighty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 43 86 129 167 172 258 334 501 516 668 1002 2004 7181 14362 21543 28724 43086 86172