11165952 has 144 divisors (see below), whose sum is σ = 35581952. Its totient is φ = 3041280.

The previous prime is 11165951. The next prime is 11165953. The reversal of 11165952 is 25956111.

It is an interprime number because it is at equal distance from previous prime (11165951) and next prime (11165953).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11165951) 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 15 ways as a sum of consecutive naturals, for example, 166623 + ... + 166689.

Almost surely, 2^11165952 is an apocalyptic number.

11165952 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 11165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790976).

11165952 is an abundant number, since it is smaller than the sum of its proper divisors (24416000).

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

11165952 is an equidigital number, since it uses as much as digits as its factorization.

11165952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its digits is 2700, while the sum is 30.

The square root of 11165952 is about 3341.5493412488. The cubic root of 11165952 is about 223.5108373246.

The spelling of 11165952 in words is "eleven million, one hundred sixty-five thousand, nine hundred fifty-two".