65819585 has 12 divisors (see below), whose sum is σ = 85527612. Its totient is φ = 48604608.

The previous prime is 65819573. The next prime is 65819609. The reversal of 65819585 is 58591856.

It can be written as a sum of positive squares in 6 ways, for example, as 4963984 + 60855601 = 2228^2 + 7801^2 .

It is not a de Polignac number, because 65819585 - 2⁴ = 65819569 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38102 + ... + 39791.

It is an arithmetic number, because the mean of its divisors is an integer number (7127301).

Almost surely, 2^65819585 is an apocalyptic number.

65819585 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

65819585 is a deficient number, since it is larger than the sum of its proper divisors (19708027).

65819585 is a wasteful number, since it uses less digits than its factorization.

65819585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77924 (or 77911 counting only the distinct ones).

The product of its digits is 432000, while the sum is 47.

The square root of 65819585 is about 8112.9270303633. The cubic root of 65819585 is about 403.7554335391.

The spelling of 65819585 in words is "sixty-five million, eight hundred nineteen thousand, five hundred eighty-five".