83813000 has 32 divisors (see below), whose sum is σ = 196124760. Its totient is φ = 33524800.

The previous prime is 83812999. The next prime is 83813021. The reversal of 83813000 is 31838.

It can be written as a sum of positive squares in 4 ways, for example, as 45941284 + 37871716 = 6778^2 + 6154^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40907 + ... + 42906.

Almost surely, 2^83813000 is an apocalyptic number.

It is an amenable number.

83813000 is an abundant number, since it is smaller than the sum of its proper divisors (112311760).

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

83813000 is a wasteful number, since it uses less digits than its factorization.

83813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83834 (or 83820 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 83813000 is about 9154.9440194902. The cubic root of 83813000 is about 437.6266844016.

Adding to 83813000 its reverse (31838), we get a palindrome (83844838).

The spelling of 83813000 in words is "eighty-three million, eight hundred thirteen thousand".