82329705 has 12 divisors (see below), whose sum is σ = 142704900. Its totient is φ = 43909152.

The previous prime is 82329703. The next prime is 82329733. The reversal of 82329705 is 50792328.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27154521 + 55175184 = 5211^2 + 7428^2 .

It is not a de Polignac number, because 82329705 - 2¹ = 82329703 is a prime.

It is a super-3 number, since 3×82329705³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82329705.

It is not an unprimeable number, because it can be changed into a prime (82329703) 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, 914730 + ... + 914819.

It is an arithmetic number, because the mean of its divisors is an integer number (11892075).

Almost surely, 2^82329705 is an apocalyptic number.

It is an amenable number.

82329705 is a deficient number, since it is larger than the sum of its proper divisors (60375195).

82329705 is a wasteful number, since it uses less digits than its factorization.

82329705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829560 (or 1829557 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 82329705 is about 9073.5717884414. The cubic root of 82329705 is about 435.0296452250.

The spelling of 82329705 in words is "eighty-two million, three hundred twenty-nine thousand, seven hundred five".