385313 has 4 divisors (see below), whose sum is σ = 386580. Its totient is φ = 384048.

The previous prime is 385291. The next prime is 385321. The reversal of 385313 is 313583.

Added to its reverse (313583) it gives a square (698896 = 836²).

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.

It can be written as a sum of positive squares in 2 ways, for example, as 277729 + 107584 = 527^2 + 328^2 .

It is a cyclic number.

It is not a de Polignac number, because 385313 - 2⁶ = 385249 is a prime.

It is a super-2 number, since 2×385313² = 296932215938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385393) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131 + ... + 887.

It is an arithmetic number, because the mean of its divisors is an integer number (96645).

2³⁸⁵³¹³ is an apocalyptic number.

It is an amenable number.

385313 is a deficient number, since it is larger than the sum of its proper divisors (1267).

385313 is an equidigital number, since it uses as much as digits as its factorization.

385313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266.

The product of its digits is 1080, while the sum is 23.

The square root of 385313 is about 620.7358536447. The cubic root of 385313 is about 72.7675725039.

Adding to 385313 its reverse (313583), we get a palindrome (698896).

The spelling of 385313 in words is "three hundred eighty-five thousand, three hundred thirteen".