7983192 has 128 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 2073600.

The previous prime is 7983181. The next prime is 7983223. The reversal of 7983192 is 2913897.

It is a self number, because there is not a number n which added to its sum of digits gives 7983192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130842 + ... + 130902.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 2^7983192 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 7983192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

7983192 is an abundant number, since it is smaller than the sum of its proper divisors (17015208).

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

7983192 is a wasteful number, since it uses less digits than its factorization.

7983192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 7983192 is about 2825.4542997543. The cubic root of 7983192 is about 199.8598351253.

It can be divided in two parts, 798 and 3192, that multiplied together give a square (2547216 = 1596²).

The spelling of 7983192 in words is "seven million, nine hundred eighty-three thousand, one hundred ninety-two".