82724384 has 12 divisors (see below), whose sum is σ = 162863694. Its totient is φ = 41362176.

The previous prime is 82724381. The next prime is 82724387. The reversal of 82724384 is 48342728.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82724381) and next prime (82724387).

It can be written as a sum of positive squares in only one way, i.e., 47059600 + 35664784 = 6860^2 + 5972^2 .

It is not an unprimeable number, because it can be changed into a prime (82724381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292537 + ... + 1292600.

Almost surely, 2^82724384 is an apocalyptic number.

It is an amenable number.

82724384 is a deficient number, since it is larger than the sum of its proper divisors (80139310).

82724384 is a wasteful number, since it uses less digits than its factorization.

82724384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585147 (or 2585139 counting only the distinct ones).

The product of its digits is 86016, while the sum is 38.

The square root of 82724384 is about 9095.2946076529. The cubic root of 82724384 is about 435.7236977888.

The spelling of 82724384 in words is "eighty-two million, seven hundred twenty-four thousand, three hundred eighty-four".