11172 has 36 divisors (see below), whose sum is σ = 31920. Its totient is φ = 3024.

The previous prime is 11171. The next prime is 11173. The reversal of 11172 is 27111.

11172 is nontrivially palindromic in base 13.

11172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11171) and next prime (11173).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 15.

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (11171) 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 11 ways as a sum of consecutive naturals, for example, 579 + ... + 597.

2^{11172} is an apocalyptic number.

11172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960).

11172 is an abundant number, since it is smaller than the sum of its proper divisors (20748).

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

11172 is a wasteful number, since it uses less digits than its factorization.

11172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 31 counting only the distinct ones).

The product of its digits is 14, while the sum is 12.

The square root of 11172 is about 105.6976820938. The cubic root of 11172 is about 22.3551184670.

Adding to 11172 its reverse (27111), we get a palindrome (38283).

The spelling of 11172 in words is "eleven thousand, one hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 798 931 1596 1862 2793 3724 5586 11172

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