83165221761 has 16 divisors (see below), whose sum is σ = 115731815424. Its totient is φ = 53022041424.

The previous prime is 83165221747. The next prime is 83165221793. The reversal of 83165221761 is 16712256138.

It is a happy number.

It is not a de Polignac number, because 83165221761 - 2¹⁰ = 83165220737 is a prime.

It is a super-2 number, since 2×83165221761² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83165221361) 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, 223260 + ... + 464946.

It is an arithmetic number, because the mean of its divisors is an integer number (7233238464).

Almost surely, 2^83165221761 is an apocalyptic number.

It is an amenable number.

83165221761 is a deficient number, since it is larger than the sum of its proper divisors (32566593663).

83165221761 is a wasteful number, since it uses less digits than its factorization.

83165221761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246700.

The product of its digits is 120960, while the sum is 42.

Adding to 83165221761 its reverse (16712256138), we get a palindrome (99877477899).

The spelling of 83165221761 in words is "eighty-three billion, one hundred sixty-five million, two hundred twenty-one thousand, seven hundred sixty-one".