83945116 has 48 divisors (see below), whose sum is σ = 167650560. Its totient is φ = 36529920.

The previous prime is 83945107. The next prime is 83945123. The reversal of 83945116 is 61154938.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 54801 + ... + 56311.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2^83945116 is an apocalyptic number.

83945116 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

83945116 is a deficient number, since it is larger than the sum of its proper divisors (83705444).

83945116 is a wasteful number, since it uses less digits than its factorization.

83945116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1592 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 83945116 is about 9162.1567329969. The cubic root of 83945116 is about 437.8565100612.

The spelling of 83945116 in words is "eighty-three million, nine hundred forty-five thousand, one hundred sixteen".