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80665 = 5131773
BaseRepresentation
bin10011101100011001
311002122121
4103230121
510040130
61421241
7454114
oct235431
9132577
1080665
1155672
123a821
132a940
142157b
1518d7a
hex13b19

80665 has 16 divisors (see below), whose sum is σ = 111888. Its totient is φ = 55296.

The previous prime is 80657. The next prime is 80669. The reversal of 80665 is 56608.

80665 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 8 ways, for example, as 576 + 80089 = 24^2 + 283^2 .

It is a 4-Lehmer number, since φ(80665) divides (80665-1)4.

It is a cyclic number.

It is not a de Polignac number, because 80665 - 23 = 80657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80669) 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, 1069 + ... + 1141.

It is an arithmetic number, because the mean of its divisors is an integer number (6993).

280665 is an apocalyptic number.

80665 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

80665 is a deficient number, since it is larger than the sum of its proper divisors (31223).

80665 is a wasteful number, since it uses less digits than its factorization.

80665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 80665 is about 284.0158446284. The cubic root of 80665 is about 43.2077560948.

The spelling of 80665 in words is "eighty thousand, six hundred sixty-five".

Divisors: 1 5 13 17 65 73 85 221 365 949 1105 1241 4745 6205 16133 80665