10952 has 12 divisors (see below), whose sum is σ = 21105. Its totient is φ = 5328.

The previous prime is 10949. The next prime is 10957. The reversal of 10952 is 25901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10952 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 8836 + 2116 = 94^2 + 46^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=74.

It is a Duffinian number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 10952.

It is not an unprimeable number, because it can be changed into a prime (10957) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 278 + ... + 314.

2^{10952} is an apocalyptic number.

It is an amenable number.

10952 is a deficient number, since it is larger than the sum of its proper divisors (10153).

10952 is an equidigital number, since it uses as much as digits as its factorization.

10952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 10952 is about 104.6518036156. The cubic root of 10952 is about 22.2074049372.

It can be divided in two parts, 109 and 52, that added together give a palindrome (161).

The spelling of 10952 in words is "ten thousand, nine hundred fifty-two".

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