7852 has 12 divisors (see below), whose sum is σ = 14896. Its totient is φ = 3600.

The previous prime is 7841. The next prime is 7853. The reversal of 7852 is 2587.

7852 is nontrivially palindromic in base 12.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (7853) by changing a digit.

7852 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24 + ... + 127.

2⁷⁸⁵² is an apocalyptic number.

It is an amenable number.

7852 is a deficient number, since it is larger than the sum of its proper divisors (7044).

7852 is a wasteful number, since it uses less digits than its factorization.

7852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

The product of its digits is 560, while the sum is 22.

The square root of 7852 is about 88.6115116675. The cubic root of 7852 is about 19.8758981966.

It can be divided in two parts, 785 and 2, that added together give a palindrome (787).

The spelling of 7852 in words is "seven thousand, eight hundred fifty-two".