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11492 = 2213217

11492 has 18 divisors (see below), whose sum is σ = 23058. Its totient is φ = 4992.

The previous prime is 11491. The next prime is 11497. The reversal of 11492 is 29411.

It is a happy number.

11492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 11236 = 16^2 + 106^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a plaindrome in base 9.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 11492.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11492.

It is not an unprimeable number, because it can be changed into a prime (11491) 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 5 ways as a sum of consecutive naturals, for example, 668 + ... + 684.

It is an arithmetic number, because the mean of its divisors is an integer number (1281).

211492 is an apocalyptic number.

It is an amenable number.

11492 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (11529).

11492 is a wasteful number, since it uses less digits than its factorization.

11492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 32 counting only the distinct ones).

The product of its digits is 72, while the sum is 17.

The square root of 11492 is about 107.2007462661. The cubic root of 11492 is about 22.5665519256.

Multiplying 11492 by its sum of digits (17), we get a square (195364 = 4422).

11492 divided by its sum of digits (17) gives a palindrome (676).

The spelling of 11492 in words is "eleven thousand, four hundred ninety-two".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 338 442 676 884 2873 5746 11492