83855538 has 48 divisors (see below), whose sum is σ = 198383640. Its totient is φ = 25443072.

The previous prime is 83855507. The next prime is 83855549. The reversal of 83855538 is 83555838.

It can be written as a sum of positive squares in 4 ways, for example, as 80407089 + 3448449 = 8967^2 + 1857^2 .

It is a junction number, because it is equal to n+sod(n) for n = 83855493 and 83855502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14628 + ... + 19536.

Almost surely, 2^83855538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83855538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99191820).

83855538 is an abundant number, since it is smaller than the sum of its proper divisors (114528102).

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

83855538 is a wasteful number, since it uses less digits than its factorization.

83855538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003 (or 5000 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 83855538 is about 9157.2669503515. The cubic root of 83855538 is about 437.7007087789.

The spelling of 83855538 in words is "eighty-three million, eight hundred fifty-five thousand, five hundred thirty-eight".