7982352 has 60 divisors (see below), whose sum is σ = 25534080. Its totient is φ = 2280384.

The previous prime is 7982329. The next prime is 7982423. The reversal of 7982352 is 2532897.

It is a happy number.

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

It is a d-powerful number, because it can be written as 7⁸ + 9⁵ + 8⁷ + 2⁷ + 3¹⁰ + 5³ + 2¹¹ .

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 11 ways as a sum of consecutive naturals, for example, 2952 + ... + 4967.

It is an arithmetic number, because the mean of its divisors is an integer number (425568).

Almost surely, 2^7982352 is an apocalyptic number.

7982352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7982352 is an abundant number, since it is smaller than the sum of its proper divisors (17551728).

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

7982352 is a wasteful number, since it uses less digits than its factorization.

7982352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7940 (or 7931 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 7982352 is about 2825.3056471823. The cubic root of 7982352 is about 199.8528250576.

The spelling of 7982352 in words is "seven million, nine hundred eighty-two thousand, three hundred fifty-two".