83065842 has 48 divisors (see below), whose sum is σ = 191351160. Its totient is φ = 25952256.

The previous prime is 83065841. The next prime is 83065867. The reversal of 83065842 is 24856038.

It can be written as a sum of positive squares in 4 ways, for example, as 73462041 + 9603801 = 8571^2 + 3099^2 .

It is a junction number, because it is equal to n+sod(n) for n = 83065797 and 83065806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83065841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107634 + ... + 108402.

Almost surely, 2^83065842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83065842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95675580).

83065842 is an abundant number, since it is smaller than the sum of its proper divisors (108285318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83065842 is a wasteful number, since it uses less digits than its factorization.

83065842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 83065842 is about 9114.0464119951. The cubic root of 83065842 is about 436.3223810192.

The spelling of 83065842 in words is "eighty-three million, sixty-five thousand, eight hundred forty-two".