10386 has 12 divisors (see below), whose sum is σ = 22542. Its totient is φ = 3456.

The previous prime is 10369. The next prime is 10391. The reversal of 10386 is 68301.

10386 = 5² + 6² + ... + 31².

It can be written as a sum of positive squares in only one way, i.e., 5625 + 4761 = 75^2 + 69^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 577 = 10386 / (1 + 0 + 3 + 8 + 6).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

10386 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 271 + ... + 306.

2¹⁰³⁸⁶ is an apocalyptic number.

10386 is an abundant number, since it is smaller than the sum of its proper divisors (12156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10386 is a wasteful number, since it uses less digits than its factorization.

10386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10386 is about 101.9117265088. The cubic root of 10386 is about 21.8180587114.

Adding to 10386 its sum of digits (18), we get a square (10404 = 102²).

Adding to 10386 its reverse (68301), we get a palindrome (78687).

The spelling of 10386 in words is "ten thousand, three hundred eighty-six".