11292 has 12 divisors (see below), whose sum is σ = 26376. Its totient is φ = 3760.

The previous prime is 11287. The next prime is 11299. The reversal of 11292 is 29211.

11292 = 34² + 35² + ... + 41².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11299) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 459 + ... + 482.

It is an arithmetic number, because the mean of its divisors is an integer number (2198).

2¹¹²⁹² is an apocalyptic number.

11292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11292 is an abundant number, since it is smaller than the sum of its proper divisors (15084).

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 (13188).

11292 is a wasteful number, since it uses less digits than its factorization.

11292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 946 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 11292 is about 106.2638226303. The cubic root of 11292 is about 22.4348734003.

It can be divided in two parts, 11 and 292, that added together give a palindrome (303).

The spelling of 11292 in words is "eleven thousand, two hundred ninety-two".