85305649 has 16 divisors (see below), whose sum is σ = 105497280. Its totient is φ = 67815360.

The previous prime is 85305637. The next prime is 85305659. The reversal of 85305649 is 94650358.

It is a cyclic number.

It is not a de Polignac number, because 85305649 - 2¹¹ = 85303601 is a prime.

It is a super-2 number, since 2×85305649² = 14554107502622402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85305659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12982 + ... + 18415.

It is an arithmetic number, because the mean of its divisors is an integer number (6593580).

Almost surely, 2^85305649 is an apocalyptic number.

It is an amenable number.

85305649 is a deficient number, since it is larger than the sum of its proper divisors (20191631).

85305649 is a wasteful number, since it uses less digits than its factorization.

85305649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31440.

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 85305649 is about 9236.1057269826. The cubic root of 85305649 is about 440.2093511329.

The spelling of 85305649 in words is "eighty-five million, three hundred five thousand, six hundred forty-nine".