82969821 has 36 divisors (see below), whose sum is σ = 133997500. Its totient is φ = 49420800.

The previous prime is 82969811. The next prime is 82969837. The reversal of 82969821 is 12896928.

It can be written as a sum of positive squares in 2 ways, for example, as 14907321 + 68062500 = 3861^2 + 8250^2 .

It is not a de Polignac number, because 82969821 - 2²² = 78775517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82969801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65805 + ... + 67053.

Almost surely, 2^82969821 is an apocalyptic number.

It is an amenable number.

82969821 is a deficient number, since it is larger than the sum of its proper divisors (51027679).

82969821 is a wasteful number, since it uses less digits than its factorization.

82969821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1324 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 82969821 is about 9108.7771407582. Note that the first 3 decimals coincide. The cubic root of 82969821 is about 436.1541920896.

The spelling of 82969821 in words is "eighty-two million, nine hundred sixty-nine thousand, eight hundred twenty-one".