83838100 has 36 divisors (see below), whose sum is σ = 182369404. Its totient is φ = 33454080.

The previous prime is 83838077. The next prime is 83838121. The reversal of 83838100 is 183838.

It can be written as a sum of positive squares in 6 ways, for example, as 20921476 + 62916624 = 4574^2 + 7932^2 .

It is a super-2 number, since 2×83838100² = 14057654023220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56974 + ... + 58426.

Almost surely, 2^83838100 is an apocalyptic number.

It is an amenable number.

83838100 is an abundant number, since it is smaller than the sum of its proper divisors (98531304).

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

83838100 is a wasteful number, since it uses less digits than its factorization.

83838100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 83838100 is about 9156.3147608631. The cubic root of 83838100 is about 437.6703663023.

It can be divided in two parts, 83838 and 100, that added together give a palindrome (83938).

The spelling of 83838100 in words is "eighty-three million, eight hundred thirty-eight thousand, one hundred".