83829836461 has 12 divisors (see below), whose sum is σ = 97527632700. Its totient is φ = 71845824960.

The previous prime is 83829836429. The next prime is 83829836513. The reversal of 83829836461 is 16463892838.

It can be written as a sum of positive squares in 2 ways, for example, as 43271904361 + 40557932100 = 208019^2 + 201390^2 .

It is not a de Polignac number, because 83829836461 - 2⁵ = 83829836429 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83829836396 and 83829836405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83829836561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348871 + ... + 537931.

It is an arithmetic number, because the mean of its divisors is an integer number (8127302725).

Almost surely, 2^83829836461 is an apocalyptic number.

It is an amenable number.

83829836461 is a deficient number, since it is larger than the sum of its proper divisors (13697796239).

83829836461 is a wasteful number, since it uses less digits than its factorization.

83829836461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198124 (or 198117 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 58.

The spelling of 83829836461 in words is "eighty-three billion, eight hundred twenty-nine million, eight hundred thirty-six thousand, four hundred sixty-one".