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61585 = 5109113
BaseRepresentation
bin1111000010010001
310010110221
433002101
53432320
61153041
7344356
oct170221
9103427
1061585
11422a7
122b781
1322054
141862d
15133aa
hexf091

61585 has 8 divisors (see below), whose sum is σ = 75240. Its totient is φ = 48384.

The previous prime is 61583. The next prime is 61603. The reversal of 61585 is 58516.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 61009 = 24^2 + 247^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 61585 - 21 = 61583 is a prime.

61585 is a lucky number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (61583) 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 7 ways as a sum of consecutive naturals, for example, 489 + ... + 601.

It is an arithmetic number, because the mean of its divisors is an integer number (9405).

261585 is an apocalyptic number.

It is an amenable number.

61585 is a deficient number, since it is larger than the sum of its proper divisors (13655).

61585 is a wasteful number, since it uses less digits than its factorization.

61585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227.

The product of its digits is 1200, while the sum is 25.

The square root of 61585 is about 248.1632527189. The cubic root of 61585 is about 39.4904105333.

It can be divided in two parts, 61 and 585, that added together give a palindrome (646).

The spelling of 61585 in words is "sixty-one thousand, five hundred eighty-five".

Divisors: 1 5 109 113 545 565 12317 61585