83477772 has 108 divisors (see below), whose sum is σ = 252295680. Its totient is φ = 23188032.

The previous prime is 83477767. The next prime is 83477791. The reversal of 83477772 is 27777438.

83477772 is nontrivially palindromic in base 13.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 64629 + ... + 65907.

Almost surely, 2^83477772 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 83477772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126147840).

83477772 is an abundant number, since it is smaller than the sum of its proper divisors (168817908).

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

83477772 is a wasteful number, since it uses less digits than its factorization.

83477772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1328 counting only the distinct ones).

The product of its digits is 460992, while the sum is 45.

The square root of 83477772 is about 9136.6170982481. The cubic root of 83477772 is about 437.0424443027.

It can be divided in two parts, 834 and 77772, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 83477772 in words is "eighty-three million, four hundred seventy-seven thousand, seven hundred seventy-two".