83200821 has 16 divisors (see below), whose sum is σ = 126282240. Its totient is φ = 48231920.

The previous prime is 83200787. The next prime is 83200823. The reversal of 83200821 is 12800238.

It is not a de Polignac number, because 83200821 - 2⁷ = 83200693 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83200791 and 83200800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83200823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54051 + ... + 55568.

It is an arithmetic number, because the mean of its divisors is an integer number (7892640).

Almost surely, 2^83200821 is an apocalyptic number.

It is an amenable number.

83200821 is a deficient number, since it is larger than the sum of its proper divisors (43081419).

83200821 is a wasteful number, since it uses less digits than its factorization.

83200821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109656.

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

The square root of 83200821 is about 9121.4484047217. The cubic root of 83200821 is about 436.5585891709.

The spelling of 83200821 in words is "eighty-three million, two hundred thousand, eight hundred twenty-one".