952 has 16 divisors (see below), whose sum is σ = 2160. Its totient is φ = 384.

The previous prime is 947. The next prime is 953. The reversal of 952 is 259.

952 is nontrivially palindromic in base 6.

It is a magnanimous number.

Its product of digits (90) is a multiple of the sum of its prime factors (30).

It is a plaindrome in base 9.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48 + ... + 64.

It is an arithmetic number, because the mean of its divisors is an integer number (135).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080).

952 is an abundant number, since it is smaller than the sum of its proper divisors (1208).

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

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

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

The sum of its prime factors is 30 (or 26 counting only the distinct ones).

The product of its digits is 90, while the sum is 16.

The square root of 952 is about 30.8544972411. The cubic root of 952 is about 9.8373694689.

It can be divided in two parts, 95 and 2, that multiplied together give a triangular number (190 = T₁₉).

The spelling of 952 in words is "nine hundred fifty-two", and thus it is an aban number.