82929312 has 96 divisors (see below), whose sum is σ = 246576960. Its totient is φ = 27106560.

The previous prime is 82929311. The next prime is 82929323. The reversal of 82929312 is 21392928.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (82929311) 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, 44887 + ... + 46697.

It is an arithmetic number, because the mean of its divisors is an integer number (2568510).

Almost surely, 2^82929312 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 82929312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123288480).

82929312 is an abundant number, since it is smaller than the sum of its proper divisors (163647648).

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

82929312 is a wasteful number, since it uses less digits than its factorization.

82929312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1869 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 82929312 is about 9106.5532447793. The cubic root of 82929312 is about 436.0831982183.

The spelling of 82929312 in words is "eighty-two million, nine hundred twenty-nine thousand, three hundred twelve".