83157312 has 84 divisors (see below), whose sum is σ = 255971040. Its totient is φ = 23756544.

The previous prime is 83157311. The next prime is 83157341. The reversal of 83157312 is 21375138.

It is a tau number, because it is divible by the number of its divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 83157312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83157311) 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 11 ways as a sum of consecutive naturals, for example, 4989 + ... + 13827.

Almost surely, 2^83157312 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 83157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127985520).

83157312 is an abundant number, since it is smaller than the sum of its proper divisors (172813728).

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

83157312 is a wasteful number, since it uses less digits than its factorization.

83157312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868 (or 8851 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 83157312 is about 9119.0631097717. The cubic root of 83157312 is about 436.4824779846.

The spelling of 83157312 in words is "eighty-three million, one hundred fifty-seven thousand, three hundred twelve".