10953 has 6 divisors (see below), whose sum is σ = 15834. Its totient is φ = 7296.

The previous prime is 10949. The next prime is 10957. The reversal of 10953 is 35901.

10953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10949) and next prime (10957).

It can be written as a sum of positive squares in only one way, i.e., 8649 + 2304 = 93^2 + 48^2 .

It is not a de Polignac number, because 10953 - 2² = 10949 is a prime.

10953 is a lucky number.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 600 + ... + 617.

It is an arithmetic number, because the mean of its divisors is an integer number (2639).

2¹⁰⁹⁵³ is an apocalyptic number.

It is an amenable number.

10953 is a deficient number, since it is larger than the sum of its proper divisors (4881).

10953 is a wasteful number, since it uses less digits than its factorization.

10953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 10953 is about 104.6565812551. The cubic root of 10953 is about 22.2080808177.

The spelling of 10953 in words is "ten thousand, nine hundred fifty-three".