11253972 has 48 divisors (see below), whose sum is σ = 27599040. Its totient is φ = 3564288.

The previous prime is 11253971. The next prime is 11253973. The reversal of 11253972 is 27935211.

It is an interprime number because it is at equal distance from previous prime (11253971) and next prime (11253973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11253971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25183 + ... + 25625.

It is an arithmetic number, because the mean of its divisors is an integer number (574980).

Almost surely, 2^11253972 is an apocalyptic number.

11253972 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 11253972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13799520).

11253972 is an abundant number, since it is smaller than the sum of its proper divisors (16345068).

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

11253972 is a wasteful number, since it uses less digits than its factorization.

11253972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 550 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 11253972 is about 3354.6940247957. The cubic root of 11253972 is about 224.0966048022.

The spelling of 11253972 in words is "eleven million, two hundred fifty-three thousand, nine hundred seventy-two".