82733229 has 12 divisors (see below), whose sum is σ = 119698332. Its totient is φ = 55065600.

The previous prime is 82733227. The next prime is 82733249. The reversal of 82733229 is 92233728.

It can be written as a sum of positive squares in 2 ways, for example, as 33663204 + 49070025 = 5802^2 + 7005^2 .

It is not a de Polignac number, because 82733229 - 2¹ = 82733227 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82733193 and 82733202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82733227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1402 + ... + 12939.

It is an arithmetic number, because the mean of its divisors is an integer number (9974861).

Almost surely, 2^82733229 is an apocalyptic number.

It is an amenable number.

82733229 is a deficient number, since it is larger than the sum of its proper divisors (36965103).

82733229 is a wasteful number, since it uses less digits than its factorization.

82733229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14988 (or 14985 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 82733229 is about 9095.7808350905. The cubic root of 82733229 is about 435.7392266191.

The spelling of 82733229 in words is "eighty-two million, seven hundred thirty-three thousand, two hundred twenty-nine".