7973352 has 96 divisors (see below), whose sum is σ = 23030280. Its totient is φ = 2488320.

The previous prime is 7973351. The next prime is 7973353. The reversal of 7973352 is 2533797.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7973351) and next prime (7973353).

It can be written as a sum of positive squares in 4 ways, for example, as 6687396 + 1285956 = 2586^2 + 1134^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7973351) by changing a digit.

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, 109188 + ... + 109260.

Almost surely, 2^7973352 is an apocalyptic number.

7973352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7973352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515140).

7973352 is an abundant number, since it is smaller than the sum of its proper divisors (15056928).

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

7973352 is a wasteful number, since it uses less digits than its factorization.

7973352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 156 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The square root of 7973352 is about 2823.7124499495. The cubic root of 7973352 is about 199.7776863080. Note that the first 3 decimals are identical.

The spelling of 7973352 in words is "seven million, nine hundred seventy-three thousand, three hundred fifty-two".