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10387 = 131747

10387 has 8 divisors (see below), whose sum is σ = 12096. Its totient is φ = 8832.

The previous prime is 10369. The next prime is 10391. The reversal of 10387 is 78301.

10387 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10387 - 27 = 10259 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

10387 is a lucky number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (10337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198 + ... + 244.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

210387 is an apocalyptic number.

10387 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10387 is a deficient number, since it is larger than the sum of its proper divisors (1709).

10387 is a wasteful number, since it uses less digits than its factorization.

10387 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10387 is about 101.9166325974. The cubic root of 10387 is about 21.8187589283.

Adding to 10387 its reverse (78301), we get a palindrome (88688).

It can be divided in two parts, 103 and 87, that added together give a triangular number (190 = T19).

The spelling of 10387 in words is "ten thousand, three hundred eighty-seven".

Divisors: 1 13 17 47 221 611 799 10387