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BaseRepresentation
bin10100111000100001
311100100001
4110320201
510214122
61500001
7504244
oct247041
9140301
1085537
11592a1
1241601
132cc1a
142325b
151a527
hex14e21

85537 has 4 divisors (see below), whose sum is σ = 89280. Its totient is φ = 81796.

The previous prime is 85531. The next prime is 85549. The reversal of 85537 is 73558.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 73558 = 236779.

It is a cyclic number.

It is not a de Polignac number, because 85537 - 215 = 52769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85531) 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 3 ways as a sum of consecutive naturals, for example, 1837 + ... + 1882.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

285537 is an apocalyptic number.

It is an amenable number.

85537 is a deficient number, since it is larger than the sum of its proper divisors (3743).

85537 is a wasteful number, since it uses less digits than its factorization.

85537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742.

The product of its digits is 4200, while the sum is 28.

The square root of 85537 is about 292.4670921659. The cubic root of 85537 is about 44.0606944753.

The spelling of 85537 in words is "eighty-five thousand, five hundred thirty-seven".

Divisors: 1 23 3719 85537