83002000 has 80 divisors (see below), whose sum is σ = 205201152. Its totient is φ = 32457600.

The previous prime is 83001991. The next prime is 83002037. The reversal of 83002000 is 20038.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93559 + ... + 94441.

Almost surely, 2^83002000 is an apocalyptic number.

83002000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102600576).

83002000 is an abundant number, since it is smaller than the sum of its proper divisors (122199152).

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

83002000 is a wasteful number, since it uses less digits than its factorization.

83002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 83002000 is about 9110.5433427431. The cubic root of 83002000 is about 436.2105707886.

Adding to 83002000 its reverse (20038), we get a palindrome (83022038).

The spelling of 83002000 in words is "eighty-three million, two thousand".