387313 has 2 divisors, whose sum is σ = 387314. Its totient is φ = 387312.

The previous prime is 387307. The next prime is 387329. The reversal of 387313 is 313783.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 374544 + 12769 = 612^2 + 113^2 .

It is an emirp because it is prime and its reverse (313783) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 387313 - 2⁵ = 387281 is a prime.

It is a super-2 number, since 2×387313² = 300022719938, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁵ + 8⁵ + 3¹¹ + 7 + 1 + 3¹¹ .

387313 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (387613) 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 as a sum of consecutive naturals, namely, 193656 + 193657.

It is an arithmetic number, because the mean of its divisors is an integer number (193657).

2³⁸⁷³¹³ is an apocalyptic number.

It is an amenable number.

387313 is a deficient number, since it is larger than the sum of its proper divisors (1).

387313 is an equidigital number, since it uses as much as digits as its factorization.

387313 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 387313 is about 622.3447597594. The cubic root of 387313 is about 72.8932573925.

The spelling of 387313 in words is "three hundred eighty-seven thousand, three hundred thirteen".