10392 has 16 divisors (see below), whose sum is σ = 26040. Its totient is φ = 3456.

The previous prime is 10391. The next prime is 10399. The reversal of 10392 is 29301.

10392 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10391) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 193 + ... + 240.

2¹⁰³⁹² is an apocalyptic number.

10392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10392 is an abundant number, since it is smaller than the sum of its proper divisors (15648).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020).

10392 is a wasteful number, since it uses less digits than its factorization.

10392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 10392 is about 101.9411594990. The cubic root of 10392 is about 21.8222593389.

Adding to 10392 its reverse (29301), we get a palindrome (39693).

The spelling of 10392 in words is "ten thousand, three hundred ninety-two".