83141688 has 64 divisors (see below), whose sum is σ = 247887360. Its totient is φ = 22720896.

The previous prime is 83141687. The next prime is 83141689. The reversal of 83141688 is 88614138.

It is an interprime number because it is at equal distance from previous prime (83141687) and next prime (83141689).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83141687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6895 + ... + 14622.

It is an arithmetic number, because the mean of its divisors is an integer number (3873240).

Almost surely, 2^83141688 is an apocalyptic number.

It is an amenable number.

83141688 is an abundant number, since it is smaller than the sum of its proper divisors (164745672).

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

83141688 is a wasteful number, since it uses less digits than its factorization.

83141688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21556 (or 21552 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 83141688 is about 9118.2064025772. The cubic root of 83141688 is about 436.4551401225.

The spelling of 83141688 in words is "eighty-three million, one hundred forty-one thousand, six hundred eighty-eight".