83157984 has 288 divisors, whose sum is σ = 308206080. Its totient is φ = 20653056.

The previous prime is 83157973. The next prime is 83158021. The reversal of 83157984 is 48975138.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497869 + ... + 498035.

It is an arithmetic number, because the mean of its divisors is an integer number (1070160).

Almost surely, 2^83157984 is an apocalyptic number.

83157984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83157984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

83157984 is an abundant number, since it is smaller than the sum of its proper divisors (225048096).

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

83157984 is a wasteful number, since it uses less digits than its factorization.

83157984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 83157984 is about 9119.0999555877. The cubic root of 83157984 is about 436.4836537298.

The spelling of 83157984 in words is "eighty-three million, one hundred fifty-seven thousand, nine hundred eighty-four".