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10388 = 227253

10388 has 18 divisors (see below), whose sum is σ = 21546. Its totient is φ = 4368.

The previous prime is 10369. The next prime is 10391. The reversal of 10388 is 88301.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 784 = 98^2 + 28^2 .

It is an Ulam number.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

10388 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, 170 + ... + 222.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

210388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10773).

10388 is an abundant number, since it is smaller than the sum of its proper divisors (11158).

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

10388 is a wasteful number, since it uses less digits than its factorization.

10388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10388 is about 101.9215384499. The cubic root of 10388 is about 21.8194591003.

Adding to 10388 its reverse (88301), we get a palindrome (98689).

It can be divided in two parts, 103 and 88, that added together give a palindrome (191).

The spelling of 10388 in words is "ten thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 742 1484 2597 5194 10388