82241047729 has 3 divisors (see below), whose sum is σ = 82241334507. Its totient is φ = 82240760952.

The previous prime is 82241047723. The next prime is 82241047783. The reversal of 82241047729 is 92774014228.

The square root of 82241047729 is 286777.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 48953775025 + 33287272704 = 221255^2 + 182448^2 .

It is a de Polignac number, because none of the positive numbers 2^k-82241047729 is a prime.

It is a super-3 number, since 3×82241047729³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82241047723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 143389 + ... + 430165.

It is an arithmetic number, because the mean of its divisors is an integer number (27413778169).

Almost surely, 2^82241047729 is an apocalyptic number.

82241047729 is the 286777-th square number.

82241047729 is the 143389-th centered octagonal number.

It is an amenable number.

82241047729 is a deficient number, since it is larger than the sum of its proper divisors (286778).

82241047729 is an frugal number, since it uses more digits than its factorization.

82241047729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573554 (or 286777 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 82241047729 in words is "eighty-two billion, two hundred forty-one million, forty-seven thousand, seven hundred twenty-nine".