83213136 has 80 divisors (see below), whose sum is σ = 242305920. Its totient is φ = 27336960.

The previous prime is 83213071. The next prime is 83213153. The reversal of 83213136 is 63131238.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 29316 + ... + 32028.

It is an arithmetic number, because the mean of its divisors is an integer number (3028824).

Almost surely, 2^83213136 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 83213136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121152960).

83213136 is an abundant number, since it is smaller than the sum of its proper divisors (159092784).

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

83213136 is a wasteful number, since it uses less digits than its factorization.

83213136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2789 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 83213136 is about 9122.1234370074. The cubic root of 83213136 is about 436.5801272348.

The spelling of 83213136 in words is "eighty-three million, two hundred thirteen thousand, one hundred thirty-six".