83122656 has 144 divisors (see below), whose sum is σ = 243229392. Its totient is φ = 24760320.

The previous prime is 83122651. The next prime is 83122717. The reversal of 83122656 is 65622138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83122651) 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, 1568326 + ... + 1568378.

It is an arithmetic number, because the mean of its divisors is an integer number (1689093).

Almost surely, 2^83122656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83122656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121614696).

83122656 is an abundant number, since it is smaller than the sum of its proper divisors (160106736).

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

83122656 is a wasteful number, since it uses less digits than its factorization.

83122656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 106 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 83122656 is about 9117.1627165473. The cubic root of 83122656 is about 436.4218345357.

The spelling of 83122656 in words is "eighty-three million, one hundred twenty-two thousand, six hundred fifty-six".