83003970 has 128 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 17660160.

The previous prime is 83003959. The next prime is 83004011. The reversal of 83003970 is 7930038.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283144 + ... + 283436.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^83003970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83003970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

83003970 is an abundant number, since it is smaller than the sum of its proper divisors (160851390).

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

83003970 is a wasteful number, since it uses less digits than its factorization.

83003970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 83003970 is about 9110.6514585950. The cubic root of 83003970 is about 436.2140218220.

The spelling of 83003970 in words is "eighty-three million, three thousand, nine hundred seventy".