83568961 has 24 divisors (see below), whose sum is σ = 100400256. Its totient is φ = 69320160.

The previous prime is 83568949. The next prime is 83568983. The reversal of 83568961 is 16986538.

It is not a de Polignac number, because 83568961 - 2⁵ = 83568929 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83568911) 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 23 ways as a sum of consecutive naturals, for example, 301555 + ... + 301831.

It is an arithmetic number, because the mean of its divisors is an integer number (4183344).

Almost surely, 2^83568961 is an apocalyptic number.

It is an amenable number.

83568961 is a deficient number, since it is larger than the sum of its proper divisors (16831295).

83568961 is a wasteful number, since it uses less digits than its factorization.

83568961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 462 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The square root of 83568961 is about 9141.6060405161. The cubic root of 83568961 is about 437.2015244173.

It can be divided in two parts, 835 and 68961, that added together give a palindrome (69796).

The spelling of 83568961 in words is "eighty-three million, five hundred sixty-eight thousand, nine hundred sixty-one".