82336528 has 40 divisors (see below), whose sum is σ = 164348856. Its totient is φ = 39936000.

The previous prime is 82336517. The next prime is 82336531. The reversal of 82336528 is 82563328.

82336528 = T₁₆₇ + T₁₆₈ + ... + T₇₉₂.

82336528 is a nontrivial binomial coefficient, being equal to C(12833, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 81504784 = 912^2 + 9028^2 .

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 205128 + ... + 205528.

Almost surely, 2^82336528 is an apocalyptic number.

82336528 is the 12832-nd triangular number.

82336528 is the 4278-th centered nonagonal number.

It is an amenable number.

82336528 is a deficient number, since it is larger than the sum of its proper divisors (82012328).

82336528 is a wasteful number, since it uses less digits than its factorization.

82336528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 757 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 82336528 is about 9073.9477626885. The cubic root of 82336528 is about 435.0416624561.

It can be divided in two parts, 82 and 336528, that added together give a triangular number (336610 = T₈₂₀).

The spelling of 82336528 in words is "eighty-two million, three hundred thirty-six thousand, five hundred twenty-eight".