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131585 = 526317
BaseRepresentation
bin100000001000000001
320200111112
4200020001
513202320
62453105
71055426
oct401001
9220445
10131585
118a953
1264195
1347b7c
1435d4d
1528ec5
hex20201

131585 has 4 divisors (see below), whose sum is σ = 157908. Its totient is φ = 105264.

The previous prime is 131581. The next prime is 131591. The reversal of 131585 is 585131.

131585 = 2562 + 2572.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 66049 + 65536 = 257^2 + 256^2 .

It is a cyclic number.

It is not a de Polignac number, because 131585 - 22 = 131581 is a prime.

It is a super-2 number, since 2×1315852 = 34629224450, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131585.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131585.

It is not an unprimeable number, because it can be changed into a prime (131581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13154 + ... + 13163.

It is an arithmetic number, because the mean of its divisors is an integer number (39477).

It is a Proth number, since it is equal to 257 ⋅ 29 + 1 and 257 < 29.

2131585 is an apocalyptic number.

131585 is the 257-th centered square number.

It is an amenable number.

131585 is a deficient number, since it is larger than the sum of its proper divisors (26323).

131585 is an equidigital number, since it uses as much as digits as its factorization.

131585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26322.

The product of its digits is 600, while the sum is 23.

The square root of 131585 is about 362.7464679359. The cubic root of 131585 is about 50.8630182853.

The spelling of 131585 in words is "one hundred thirty-one thousand, five hundred eighty-five".

Divisors: 1 5 26317 131585