965953 has 2 divisors, whose sum is σ = 965954. Its totient is φ = 965952.

The previous prime is 965927. The next prime is 965963. The reversal of 965953 is 359569.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 815409 + 150544 = 903^2 + 388^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-965953 is a prime.

It is not a weakly prime, because it can be changed into another prime (965963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 482976 + 482977.

It is an arithmetic number, because the mean of its divisors is an integer number (482977).

2⁹⁶⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

965953 is a deficient number, since it is larger than the sum of its proper divisors (1).

965953 is an equidigital number, since it uses as much as digits as its factorization.

965953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36450, while the sum is 37.

The square root of 965953 is about 982.8290797489. The cubic root of 965953 is about 98.8519707235.

The spelling of 965953 in words is "nine hundred sixty-five thousand, nine hundred fifty-three".