83430820 has 48 divisors (see below), whose sum is σ = 191753856. Its totient is φ = 30240000.

The previous prime is 83430811. The next prime is 83430829. The reversal of 83430820 is 2803438.

It is an interprime number because it is at equal distance from previous prime (83430811) and next prime (83430829).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83430829) 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, 131905 + ... + 132535.

It is an arithmetic number, because the mean of its divisors is an integer number (3994872).

Almost surely, 2^83430820 is an apocalyptic number.

It is an amenable number.

83430820 is an abundant number, since it is smaller than the sum of its proper divisors (108323036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83430820 is a wasteful number, since it uses less digits than its factorization.

83430820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 83430820 is about 9134.0472956954. The cubic root of 83430820 is about 436.9604908888.

The spelling of 83430820 in words is "eighty-three million, four hundred thirty thousand, eight hundred twenty".