9952 has 12 divisors (see below), whose sum is σ = 19656. Its totient is φ = 4960.

The previous prime is 9949. The next prime is 9967. The reversal of 9952 is 2599.

It is a plaindrome in base 9 and base 14.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124 + ... + 187.

It is an arithmetic number, because the mean of its divisors is an integer number (1638).

2⁹⁹⁵² is an apocalyptic number.

It is an amenable number.

9952 is a deficient number, since it is larger than the sum of its proper divisors (9704).

9952 is a wasteful number, since it uses less digits than its factorization.

9952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its digits is 810, while the sum is 25.

The square root of 9952 is about 99.7597113067. The cubic root of 9952 is about 21.5098206442.

It can be divided in two parts, 99 and 52, that added together give a palindrome (151).

The spelling of 9952 in words is "nine thousand, nine hundred fifty-two".