61085305 has 16 divisors (see below), whose sum is σ = 75087504. Its totient is φ = 47692800.

The previous prime is 61085303. The next prime is 61085317. The reversal of 61085305 is 50358016.

61085305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1610361 + 59474944 = 1269^2 + 7712^2 .

It is not a de Polignac number, because 61085305 - 2¹ = 61085303 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61085303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36037 + ... + 37693.

It is an arithmetic number, because the mean of its divisors is an integer number (4692969).

Almost surely, 2^61085305 is an apocalyptic number.

It is an amenable number.

61085305 is a deficient number, since it is larger than the sum of its proper divisors (14002199).

61085305 is a wasteful number, since it uses less digits than its factorization.

61085305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 61085305 is about 7815.7088610055. The cubic root of 61085305 is about 393.8331316873.

The spelling of 61085305 in words is "sixty-one million, eighty-five thousand, three hundred five".