83020821 has 16 divisors (see below), whose sum is σ = 123056640. Its totient is φ = 49440960.

The previous prime is 83020813. The next prime is 83020837. The reversal of 83020821 is 12802038.

It is not a de Polignac number, because 83020821 - 2³ = 83020813 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83020791 and 83020800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83020811) 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 15 ways as a sum of consecutive naturals, for example, 33126 + ... + 35543.

It is an arithmetic number, because the mean of its divisors is an integer number (7691040).

Almost surely, 2^83020821 is an apocalyptic number.

It is an amenable number.

83020821 is a deficient number, since it is larger than the sum of its proper divisors (40035819).

83020821 is a wasteful number, since it uses less digits than its factorization.

83020821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68716.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 83020821 is about 9111.5762083187. The cubic root of 83020821 is about 436.2435390652.

Adding to 83020821 its reverse (12802038), we get a palindrome (95822859).

The spelling of 83020821 in words is "eighty-three million, twenty thousand, eight hundred twenty-one".