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10842 = 2313139

10842 has 16 divisors (see below), whose sum is σ = 23520. Its totient is φ = 3312.

The previous prime is 10837. The next prime is 10847. The reversal of 10842 is 24801.

10842 is nontrivially palindromic in base 12.

10842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10837) and next prime (10847).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (10847) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (1470).

210842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760).

10842 is an abundant number, since it is smaller than the sum of its proper divisors (12678).

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

10842 is a wasteful number, since it uses less digits than its factorization.

10842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10842 is about 104.1249249700. The cubic root of 10842 is about 22.1328055067.

The spelling of 10842 in words is "ten thousand, eight hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 139 278 417 834 1807 3614 5421 10842