82882816 has 27 divisors (see below), whose sum is σ = 165733141. Its totient is φ = 41368576.

The previous prime is 82882799. The next prime is 82882829. The reversal of 82882816 is 61828828.

It is a happy number.

The square root of 82882816 is 9104.

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

It can be written as a sum of positive squares in only one way, i.e., 13660416 + 69222400 = 3696^2 + 8320^2 .

It is a super-2 number, since 2×82882816² = 13739122376179712, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 145380 + ... + 145948.

Almost surely, 2^82882816 is an apocalyptic number.

82882816 is the 9104-th square number.

It is an amenable number.

82882816 is a deficient number, since it is larger than the sum of its proper divisors (82850325).

82882816 is an frugal number, since it uses more digits than its factorization.

82882816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 571 counting only the distinct ones).

The product of its digits is 98304, while the sum is 43.

The cubic root of 82882816 is about 436.0016833535.

The spelling of 82882816 in words is "eighty-two million, eight hundred eighty-two thousand, eight hundred sixteen".