83221776 has 160 divisors (see below), whose sum is σ = 264983040. Its totient is φ = 24796800.

The previous prime is 83221771. The next prime is 83221777. The reversal of 83221776 is 67712238.

83221776 = 300² + 301² + ... + 651².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 83221776.

It is not an unprimeable number, because it can be changed into a prime (83221771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394311 + ... + 394521.

It is an arithmetic number, because the mean of its divisors is an integer number (1656144).

Almost surely, 2^83221776 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 83221776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132491520).

83221776 is an abundant number, since it is smaller than the sum of its proper divisors (181761264).

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

83221776 is a wasteful number, since it uses less digits than its factorization.

83221776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 83221776 is about 9122.5969986622. The cubic root of 83221776 is about 436.5952367153.

The spelling of 83221776 in words is "eighty-three million, two hundred twenty-one thousand, seven hundred seventy-six".