83117070 has 64 divisors (see below), whose sum is σ = 224735040. Its totient is φ = 21855744.

The previous prime is 83117053. The next prime is 83117071. The reversal of 83117070 is 7071138.

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 (83117071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17602 + ... + 21818.

It is an arithmetic number, because the mean of its divisors is an integer number (3511485).

Almost surely, 2^83117070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83117070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112367520).

83117070 is an abundant number, since it is smaller than the sum of its proper divisors (141617970).

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

83117070 is a wasteful number, since it uses less digits than its factorization.

83117070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 83117070 is about 9116.8563660946. The cubic root of 83117070 is about 436.4120581919.

The spelling of 83117070 in words is "eighty-three million, one hundred seventeen thousand, seventy".