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BaseRepresentation
bin111011101110
312020120
4323232
5110242
625410
714100
oct7356
95216
103822
112965
122266
131980
141570
1511ec
hexeee

3822 has 24 divisors (see below), whose sum is σ = 9576. Its totient is φ = 1008.

The previous prime is 3821. The next prime is 3823. The reversal of 3822 is 2283.

Added to its reverse (2283) it gives a triangular number (6105 = T110).

3822 is nontrivially palindromic in base 16.

3822 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (3821) and next prime (3823).

3822 is an undulating number in base 4.

Its product of digits (96) is a multiple of the sum of its prime factors (32).

3822 is a nontrivial repdigit in base 16.

It is a plaindrome in base 12 and base 16.

It is a nialpdrome in base 16.

It is a zygodrome in base 12 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3822.

It is not an unprimeable number, because it can be changed into a prime (3821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288 + ... + 300.

It is an arithmetic number, because the mean of its divisors is an integer number (399).

It is a practical number, because each smaller number is the sum of distinct divisors of 3822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788).

3822 is an abundant number, since it is smaller than the sum of its proper divisors (5754).

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

3822 is a wasteful number, since it uses less digits than its factorization.

3822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 25 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 3822 is about 61.8223260643. The cubic root of 3822 is about 15.6349643109.

Adding to 3822 its reverse (2283), we get a triangular number (6105 = T110).

The spelling of 3822 in words is "three thousand, eight hundred twenty-two".