16965313 has 4 divisors (see below), whose sum is σ = 16975060. Its totient is φ = 16955568.

The previous prime is 16965307. The next prime is 16965383. The reversal of 16965313 is 31356961.

16965313 = 2912² + 2913².

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 31356961 = 2099 ⋅14939.

It can be written as a sum of positive squares in 2 ways, for example, as 8479744 + 8485569 = 2912^2 + 2913^2 .

It is a cyclic number.

It is not a de Polignac number, because 16965313 - 2⁵ = 16965281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16965383) 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 in 3 ways as a sum of consecutive naturals, for example, 1470 + ... + 6007.

It is an arithmetic number, because the mean of its divisors is an integer number (4243765).

Almost surely, 2^16965313 is an apocalyptic number.

16965313 is the 2913-rd centered square number.

It is an amenable number.

16965313 is a deficient number, since it is larger than the sum of its proper divisors (9747).

16965313 is an equidigital number, since it uses as much as digits as its factorization.

16965313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9746.

The product of its digits is 14580, while the sum is 34.

The square root of 16965313 is about 4118.8970611075. The cubic root of 16965313 is about 256.9531575465.

The spelling of 16965313 in words is "sixteen million, nine hundred sixty-five thousand, three hundred thirteen".