82362348 has 72 divisors (see below), whose sum is σ = 224274960. Its totient is φ = 25390080.

The previous prime is 82362341. The next prime is 82362361. The reversal of 82362348 is 84326328.

82362348 is a `hidden beast` number, since 8 + 23 + 623 + 4 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82362341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34968 + ... + 37248.

It is an arithmetic number, because the mean of its divisors is an integer number (3114930).

Almost surely, 2^82362348 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 82362348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112137480).

82362348 is an abundant number, since it is smaller than the sum of its proper divisors (141912612).

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

82362348 is a wasteful number, since it uses less digits than its factorization.

82362348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2362 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 82362348 is about 9075.3704056639. The cubic root of 82362348 is about 435.0871327637.

The spelling of 82362348 in words is "eighty-two million, three hundred sixty-two thousand, three hundred forty-eight".