83117772 has 48 divisors (see below), whose sum is σ = 216367200. Its totient is φ = 27593280.

The previous prime is 83117759. The next prime is 83117773. The reversal of 83117772 is 27771138.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83117773) 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, 27622 + ... + 30482.

It is an arithmetic number, because the mean of its divisors is an integer number (4507650).

Almost surely, 2^83117772 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 83117772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108183600).

83117772 is an abundant number, since it is smaller than the sum of its proper divisors (133249428).

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

83117772 is a wasteful number, since it uses less digits than its factorization.

83117772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3135 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 83117772 is about 9116.8948661263. The cubic root of 83117772 is about 436.4132868220.

It can be divided in two parts, 83 and 117772, that added together give a triangular number (117855 = T₄₈₅).

The spelling of 83117772 in words is "eighty-three million, one hundred seventeen thousand, seven hundred seventy-two".