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82565 = 572337
BaseRepresentation
bin10100001010000101
311012020222
4110022011
510120230
61434125
7462500
oct241205
9135228
1082565
115703a
123b945
132b772
1422137
15196e5
hex14285

82565 has 12 divisors (see below), whose sum is σ = 115596. Its totient is φ = 56448.

The previous prime is 82561. The next prime is 82567. The reversal of 82565 is 56528.

82565 is nontrivially palindromic in base 2.

It can be written as a sum of positive squares in 2 ways, for example, as 25921 + 56644 = 161^2 + 238^2 .

It is not a de Polignac number, because 82565 - 22 = 82561 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (9633).

282565 is an apocalyptic number.

It is an amenable number.

82565 is a deficient number, since it is larger than the sum of its proper divisors (33031).

82565 is a wasteful number, since it uses less digits than its factorization.

82565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 349 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 82565 is about 287.3412605248. The cubic root of 82565 is about 43.5443683475.

The spelling of 82565 in words is "eighty-two thousand, five hundred sixty-five".

Divisors: 1 5 7 35 49 245 337 1685 2359 11795 16513 82565