168820313 has 2 divisors, whose sum is σ = 168820314. Its totient is φ = 168820312.

The previous prime is 168820303. The next prime is 168820343. The reversal of 168820313 is 313028861.

168820313 = 9187² + 9188².

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84419344 + 84400969 = 9188^2 + 9187^2 .

It is a cyclic number.

It is not a de Polignac number, because 168820313 - 2¹² = 168816217 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 168820313.

It is not a weakly prime, because it can be changed into another prime (168820303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 84410156 + 84410157.

It is an arithmetic number, because the mean of its divisors is an integer number (84410157).

Almost surely, 2^168820313 is an apocalyptic number.

168820313 is the 9188-th centered square number.

It is an amenable number.

168820313 is a deficient number, since it is larger than the sum of its proper divisors (1).

168820313 is an equidigital number, since it uses as much as digits as its factorization.

168820313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 168820313 is about 12993.0871235438. The cubic root of 168820313 is about 552.6814653406.

The spelling of 168820313 in words is "one hundred sixty-eight million, eight hundred twenty thousand, three hundred thirteen".