385312 has 12 divisors (see below), whose sum is σ = 758646. Its totient is φ = 192640.

The previous prime is 385291. The next prime is 385321. The reversal of 385312 is 213583.

It can be written as a sum of positive squares in only one way, i.e., 309136 + 76176 = 556^2 + 276^2 .

It is an unprimeable number.

385312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 5989 + ... + 6052.

2³⁸⁵³¹² is an apocalyptic number.

385312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

385312 is a deficient number, since it is larger than the sum of its proper divisors (373334).

385312 is a wasteful number, since it uses less digits than its factorization.

385312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12051 (or 12043 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 385312 is about 620.7350481486. The cubic root of 385312 is about 72.7675095528.

Adding to 385312 its reverse (213583), we get a palindrome (598895).

The spelling of 385312 in words is "three hundred eighty-five thousand, three hundred twelve".