1122 has 16 divisors (see below), whose sum is σ = 2592. Its totient is φ = 320.

The previous prime is 1117. The next prime is 1123. The reversal of 1122 is 2211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a nialpdrome in base 6 and base 11.

It is a zygodrome in base 10.

It is a self number, because there is not a number *n* which added to its sum of digits gives 1122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123) 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, 58 + ... + 74.

It is an arithmetic number, because the mean of its divisors is an integer number (162).

It is a pronic number, being equal to 33×34.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296).

1122 is an abundant number, since it is smaller than the sum of its proper divisors (1470).

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

1122 is a wasteful number, since it uses less digits than its factorization.

1122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33.

The product of its digits is 4, while the sum is 6.

The square root of 1122 is about 33.4962684489. The cubic root of 1122 is about 10.3911660685.

Adding to 1122 its reverse (2211), we get a palindrome (3333).

Subtracting 1122 from its reverse (2211), we obtain a square (1089 = 33^{2}).

It can be divided in two parts, 11 and 22, that multiplied together give a palindrome (242).

The spelling of 1122 in words is "one thousand, one hundred twenty-two", and thus it is an iban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.065 sec. • engine limits •