65838305 has 32 divisors (see below), whose sum is σ = 90768384. Its totient is φ = 45467136.

The previous prime is 65838301. The next prime is 65838307. The reversal of 65838305 is 50383856.

It is not a de Polignac number, because 65838305 - 2² = 65838301 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65838301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69797 + ... + 70733.

It is an arithmetic number, because the mean of its divisors is an integer number (2836512).

Almost surely, 2^65838305 is an apocalyptic number.

65838305 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

65838305 is the 4685-th octagonal number.

It is an amenable number.

65838305 is a deficient number, since it is larger than the sum of its proper divisors (24930079).

65838305 is a wasteful number, since it uses less digits than its factorization.

65838305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025.

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 65838305 is about 8114.0806626506. The cubic root of 65838305 is about 403.7937077867.

The spelling of 65838305 in words is "sixty-five million, eight hundred thirty-eight thousand, three hundred five".