83505552 has 80 divisors (see below), whose sum is σ = 234026688. Its totient is φ = 25505280.

The previous prime is 83505509. The next prime is 83505563. The reversal of 83505552 is 25550538.

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, 101302 + ... + 102122.

Almost surely, 2^83505552 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 83505552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117013344).

83505552 is an abundant number, since it is smaller than the sum of its proper divisors (150521136).

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

83505552 is a wasteful number, since it uses less digits than its factorization.

83505552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The square root of 83505552 is about 9138.1372281226. The cubic root of 83505552 is about 437.0909190535.

The spelling of 83505552 in words is "eighty-three million, five hundred five thousand, five hundred fifty-two".