83477712 has 80 divisors (see below), whose sum is σ = 221896512. Its totient is φ = 27033600.

The previous prime is 83477683. The next prime is 83477717. The reversal of 83477712 is 21777438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83477717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324688 + ... + 324944.

Almost surely, 2^83477712 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 83477712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110948256).

83477712 is an abundant number, since it is smaller than the sum of its proper divisors (138418800).

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

83477712 is a wasteful number, since it uses less digits than its factorization.

83477712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 430 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 83477712 is about 9136.6138147565. The cubic root of 83477712 is about 437.0423395940.

The spelling of 83477712 in words is "eighty-three million, four hundred seventy-seven thousand, seven hundred twelve".