82308348 has 72 divisors (see below), whose sum is σ = 216792576. Its totient is φ = 26301600.

The previous prime is 82308287. The next prime is 82308389. The reversal of 82308348 is 84380328.

It is a happy number.

82308348 is a `hidden beast` number, since 8 + 2 + 308 + 348 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145915 + ... + 146477.

It is an arithmetic number, because the mean of its divisors is an integer number (3011008).

Almost surely, 2^82308348 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 82308348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108396288).

82308348 is an abundant number, since it is smaller than the sum of its proper divisors (134484228).

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

82308348 is a wasteful number, since it uses less digits than its factorization.

82308348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 82308348 is about 9072.3948326779. The cubic root of 82308348 is about 434.9920252204.

The spelling of 82308348 in words is "eighty-two million, three hundred eight thousand, three hundred forty-eight".