11249172 has 96 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 3202560.

The previous prime is 11249143. The next prime is 11249177. The reversal of 11249172 is 27194211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11249177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19918 + ... + 20474.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 2^11249172 is an apocalyptic number.

11249172 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 11249172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

11249172 is an abundant number, since it is smaller than the sum of its proper divisors (22498668).

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

11249172 is a wasteful number, since it uses less digits than its factorization.

11249172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 590 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 11249172 is about 3353.9785330261. The cubic root of 11249172 is about 224.0647400032.

It can be divided in two parts, 1124 and 9172, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 11249172 in words is "eleven million, two hundred forty-nine thousand, one hundred seventy-two".