738313 has 2 divisors, whose sum is σ = 738314. Its totient is φ = 738312.

The previous prime is 738301. The next prime is 738317. The reversal of 738313 is 313837.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 480249 + 258064 = 693^2 + 508^2 .

It is a cyclic number.

It is not a de Polignac number, because 738313 - 2⁹ = 737801 is a prime.

738313 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (738317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 369156 + 369157.

It is an arithmetic number, because the mean of its divisors is an integer number (369157).

2⁷³⁸³¹³ is an apocalyptic number.

It is an amenable number.

738313 is a deficient number, since it is larger than the sum of its proper divisors (1).

738313 is an equidigital number, since it uses as much as digits as its factorization.

738313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 25.

The square root of 738313 is about 859.2514183870. The cubic root of 738313 is about 90.3816304989.

It can be divided in two parts, 7383 and 13, that added together give a square (7396 = 86²).

The spelling of 738313 in words is "seven hundred thirty-eight thousand, three hundred thirteen".