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21846 = 2311331

21846 has 16 divisors (see below), whose sum is σ = 47808. Its totient is φ = 6600.

The previous prime is 21841. The next prime is 21851. The reversal of 21846 is 64812.

It is an interprime number because it is at equal distance from previous prime (21841) and next prime (21851).

It is a plaindrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21841) by changing a digit.

21846 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100 + ... + 231.

It is an arithmetic number, because the mean of its divisors is an integer number (2988).

221846 is an apocalyptic number.

21846 is an abundant number, since it is smaller than the sum of its proper divisors (25962).

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 (23904).

21846 is a wasteful number, since it uses less digits than its factorization.

21846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347.

The product of its digits is 384, while the sum is 21.

The square root of 21846 is about 147.8039241698. The cubic root of 21846 is about 27.9548592373.

It can be divided in two parts, 21 and 846, that multiplied together give a triangular number (17766 = T188).

The spelling of 21846 in words is "twenty-one thousand, eight hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 331 662 993 1986 3641 7282 10923 21846