15822 has 16 divisors (see below), whose sum is σ = 35280. Its totient is φ = 5256.

The previous prime is 15817. The next prime is 15823. The reversal of 15822 is 22851.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 1 + 5⁶ + 8² + 2² + 2⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 15795 and 15804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 200.

It is an arithmetic number, because the mean of its divisors is an integer number (2205).

2¹⁵⁸²² is an apocalyptic number.

15822 is an abundant number, since it is smaller than the sum of its proper divisors (19458).

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 (17640).

15822 is a wasteful number, since it uses less digits than its factorization.

15822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 15822 is about 125.7855317594. The cubic root of 15822 is about 25.1046281736.

The spelling of 15822 in words is "fifteen thousand, eight hundred twenty-two".