83405052 has 60 divisors (see below), whose sum is σ = 219745680. Its totient is φ = 27584064.

The previous prime is 83405051. The next prime is 83405099. The reversal of 83405052 is 25050438.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83405051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43449 + ... + 45327.

It is an arithmetic number, because the mean of its divisors is an integer number (3662428).

Almost surely, 2^83405052 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 83405052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109872840).

83405052 is an abundant number, since it is smaller than the sum of its proper divisors (136340628).

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

83405052 is a wasteful number, since it uses less digits than its factorization.

83405052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 83405052 is about 9132.6366400947. The cubic root of 83405052 is about 436.9155004911.

The spelling of 83405052 in words is "eighty-three million, four hundred five thousand, fifty-two".