11171952 has 80 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 3384000.

The previous prime is 11171933. The next prime is 11171957. The reversal of 11171952 is 25917111.

It is a super-2 number, since 2×11171952² = 249625022980608, which contains 22 as substring.

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 (11171957) 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 15 ways as a sum of consecutive naturals, for example, 3577 + ... + 5927.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 2^11171952 is an apocalyptic number.

11171952 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 11171952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

11171952 is an abundant number, since it is smaller than the sum of its proper divisors (23825808).

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

11171952 is a wasteful number, since it uses less digits than its factorization.

11171952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2367 counting only the distinct ones).

The product of its digits is 630, while the sum is 27.

The square root of 11171952 is about 3342.4470078073. The cubic root of 11171952 is about 223.5508645100.

The spelling of 11171952 in words is "eleven million, one hundred seventy-one thousand, nine hundred fifty-two".