83820807 has 48 divisors (see below), whose sum is σ = 144248832. Its totient is φ = 45895680.

The previous prime is 83820773. The next prime is 83820811. The reversal of 83820807 is 70802838.

It is not a de Polignac number, because 83820807 - 2¹⁰ = 83819783 is a prime.

It is a super-2 number, since 2×83820807² = 14051855372262498, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83820827) 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 47 ways as a sum of consecutive naturals, for example, 326023 + ... + 326279.

It is an arithmetic number, because the mean of its divisors is an integer number (3005184).

Almost surely, 2^83820807 is an apocalyptic number.

83820807 is a deficient number, since it is larger than the sum of its proper divisors (60428025).

83820807 is a wasteful number, since it uses less digits than its factorization.

83820807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 83820807 is about 9155.3703911966. The cubic root of 83820807 is about 437.6402719733.

The spelling of 83820807 in words is "eighty-three million, eight hundred twenty thousand, eight hundred seven".