953 has 2 divisors, whose sum is σ = 954. Its totient is φ = 952.

The previous prime is 947. The next prime is 967. The reversal of 953 is 359.

953 is nontrivially palindromic in base 11.

953 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 784 + 169 = 28^2 + 13^2 .

953 is a truncatable prime.

It is an emirp because it is prime and its reverse (359) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 953 - 2⁴ = 937 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

953 is an undulating number in base 11.

It is a Curzon number.

It is a plaindrome in base 9.

It is a nialpdrome in base 10.

It is not a weakly prime, because it can be changed into another prime (983) 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 as a sum of consecutive naturals, namely, 476 + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (477).

953 is the 17-th centered heptagonal number.

It is an amenable number.

953 is a deficient number, since it is larger than the sum of its proper divisors (1).

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

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

The product of its digits is 135, while the sum is 17.

The square root of 953 is about 30.8706980809. The cubic root of 953 is about 9.8408127207.

Subtracting from 953 its product of digits (135), we obtain a palindrome (818).

The spelling of 953 in words is "nine hundred fifty-three", and thus it is an aban number and an oban number.