966313 has 2 divisors, whose sum is σ = 966314. Its totient is φ = 966312.

The previous prime is 966307. The next prime is 966319. The reversal of 966313 is 313669.

It is a balanced prime because it is at equal distance from previous prime (966307) and next prime (966319).

It can be written as a sum of positive squares in only one way, i.e., 779689 + 186624 = 883^2 + 432^2 .

It is an emirp because it is prime and its reverse (313669) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 966313 - 2⁹ = 965801 is a prime.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (966319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483156 + 483157.

It is an arithmetic number, because the mean of its divisors is an integer number (483157).

2⁹⁶⁶³¹³ is an apocalyptic number.

It is an amenable number.

966313 is a deficient number, since it is larger than the sum of its proper divisors (1).

966313 is an equidigital number, since it uses as much as digits as its factorization.

966313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 28.

The square root of 966313 is about 983.0122074522. The cubic root of 966313 is about 98.8642495436.

The spelling of 966313 in words is "nine hundred sixty-six thousand, three hundred thirteen".