438820313 has 2 divisors, whose sum is σ = 438820314. Its totient is φ = 438820312.

The previous prime is 438820309. The next prime is 438820321. The reversal of 438820313 is 313028834.

438820313 = 14812² + 14813².

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., 219424969 + 219395344 = 14813^2 + 14812^2 .

It is a cyclic number.

It is not a de Polignac number, because 438820313 - 2² = 438820309 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 438820313.

It is not a weakly prime, because it can be changed into another prime (438820513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 219410156 + 219410157.

It is an arithmetic number, because the mean of its divisors is an integer number (219410157).

Almost surely, 2^438820313 is an apocalyptic number.

438820313 is the 14813-rd centered square number.

It is an amenable number.

438820313 is a deficient number, since it is larger than the sum of its proper divisors (1).

438820313 is an equidigital number, since it uses as much as digits as its factorization.

438820313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 438820313 is about 20948.0384045858. The cubic root of 438820313 is about 759.9101423079.

The spelling of 438820313 in words is "four hundred thirty-eight million, eight hundred twenty thousand, three hundred thirteen".