82119296 has 48 divisors (see below), whose sum is σ = 190321290. Its totient is φ = 35191296.

The previous prime is 82119251. The next prime is 82119409. The reversal of 82119296 is 69291128.

It can be written as a sum of positive squares in only one way, i.e., 53816896 + 28302400 = 7336^2 + 5320^2 .

It is a super-3 number, since 3×82119296³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 275 + ... + 12818.

Almost surely, 2^82119296 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 82119296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95160645).

82119296 is an abundant number, since it is smaller than the sum of its proper divisors (108201994).

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

82119296 is a wasteful number, since it uses less digits than its factorization.

82119296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13121 (or 13102 counting only the distinct ones).

The product of its digits is 15552, while the sum is 38.

The square root of 82119296 is about 9061.9697637986. The cubic root of 82119296 is about 434.6587291176.

The spelling of 82119296 in words is "eighty-two million, one hundred nineteen thousand, two hundred ninety-six".