11317152 has 96 divisors (see below), whose sum is σ = 37062144. Its totient is φ = 2937600.

The previous prime is 11317129. The next prime is 11317169. The reversal of 11317152 is 25171311.

It is a happy number.

11317152 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11317152² = 256155858782208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

11317152 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6627 + ... + 8157.

It is an arithmetic number, because the mean of its divisors is an integer number (386064).

Almost surely, 2^11317152 is an apocalyptic number.

11317152 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 11317152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18531072).

11317152 is an abundant number, since it is smaller than the sum of its proper divisors (25744992).

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

11317152 is a wasteful number, since it uses less digits than its factorization.

11317152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1554 counting only the distinct ones).

The product of its digits is 210, while the sum is 21.

The square root of 11317152 is about 3364.0975015597. The cubic root of 11317152 is about 224.5151832563.

Adding to 11317152 its reverse (25171311), we get a palindrome (36488463).

The spelling of 11317152 in words is "eleven million, three hundred seventeen thousand, one hundred fifty-two".