82120329 has 6 divisors (see below), whose sum is σ = 118618266. Its totient is φ = 54746880.

The previous prime is 82120321. The next prime is 82120331. The reversal of 82120329 is 92302128.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 51151104 + 30969225 = 7152^2 + 5565^2 .

It is not a de Polignac number, because 82120329 - 2³ = 82120321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82120321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4562232 + ... + 4562249.

It is an arithmetic number, because the mean of its divisors is an integer number (19769711).

Almost surely, 2^82120329 is an apocalyptic number.

It is an amenable number.

82120329 is a deficient number, since it is larger than the sum of its proper divisors (36497937).

82120329 is a wasteful number, since it uses less digits than its factorization.

82120329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9124487 (or 9124484 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82120329 is about 9062.0267600576. The cubic root of 82120329 is about 434.6605516718.

The spelling of 82120329 in words is "eighty-two million, one hundred twenty thousand, three hundred twenty-nine".