84838100 has 36 divisors (see below), whose sum is σ = 186446400. Its totient is φ = 33502560.

The previous prime is 84838087. The next prime is 84838111. The reversal of 84838100 is 183848.

It is a super-2 number, since 2×84838100² = 14395006423220000, 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, 2531 + ... + 13269.

Almost surely, 2^84838100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84838100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93223200).

84838100 is an abundant number, since it is smaller than the sum of its proper divisors (101608300).

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

84838100 is a wasteful number, since it uses less digits than its factorization.

84838100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10832 (or 10825 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 84838100 is about 9210.7600120728. The cubic root of 84838100 is about 439.4036342136.

The spelling of 84838100 in words is "eighty-four million, eight hundred thirty-eight thousand, one hundred".