82848492 has 72 divisors (see below), whose sum is σ = 219902592. Its totient is φ = 26265600.

The previous prime is 82848481. The next prime is 82848511. The reversal of 82848492 is 29484828.

It is a happy number.

82848492 is a `hidden beast` number, since 82 + 8 + 484 + 92 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67468 + ... + 68684.

Almost surely, 2^82848492 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 82848492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109951296).

82848492 is an abundant number, since it is smaller than the sum of its proper divisors (137054100).

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

82848492 is a wasteful number, since it uses less digits than its factorization.

82848492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1314 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 82848492 is about 9102.1146993432. The cubic root of 82848492 is about 435.9414883745.

The spelling of 82848492 in words is "eighty-two million, eight hundred forty-eight thousand, four hundred ninety-two".