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285613 is a prime number
BaseRepresentation
bin1000101101110101101
3112111210021
41011232231
533114423
610042141
72266456
oct1055655
9474707
10285613
11185649
12119351
13a0003
147612d
155995d
hex45bad

285613 has 2 divisors, whose sum is σ = 285614. Its totient is φ = 285612.

The previous prime is 285611. The next prime is 285629. The reversal of 285613 is 316582.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 174724 + 110889 = 418^2 + 333^2 .

It is a cyclic number.

It is not a de Polignac number, because 285613 - 21 = 285611 is a prime.

Together with 285611, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 218 + 82 + 65 + 56 + 1 + 3 .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (285611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 142806 + 142807.

It is an arithmetic number, because the mean of its divisors is an integer number (142807).

2285613 is an apocalyptic number.

It is an amenable number.

285613 is a deficient number, since it is larger than the sum of its proper divisors (1).

285613 is an equidigital number, since it uses as much as digits as its factorization.

285613 is an odious number, because the sum of its binary digits is odd.

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

The square root of 285613 is about 534.4277313164. The cubic root of 285613 is about 65.8555918254.

It can be divided in two parts, 2856 and 13, that multiplied together give a triangular number (37128 = T272).

The spelling of 285613 in words is "two hundred eighty-five thousand, six hundred thirteen".