82349312 has 36 divisors (see below), whose sum is σ = 165122496. Its totient is φ = 40988160.

The previous prime is 82349303. The next prime is 82349327. The reversal of 82349312 is 21394328.

It is a happy number.

It is a super-3 number, since 3×82349312³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68783 + ... + 69969.

It is an arithmetic number, because the mean of its divisors is an integer number (4586736).

Almost surely, 2^82349312 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 82349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82561248).

82349312 is an abundant number, since it is smaller than the sum of its proper divisors (82773184).

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

82349312 is a wasteful number, since it uses less digits than its factorization.

82349312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1460 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 82349312 is about 9074.6521696426. The cubic root of 82349312 is about 435.0641769056.

The spelling of 82349312 in words is "eighty-two million, three hundred forty-nine thousand, three hundred twelve".