11157627 has 16 divisors (see below), whose sum is σ = 16964640. Its totient is φ = 6461952.

The previous prime is 11157623. The next prime is 11157673. The reversal of 11157627 is 72675111.

It is not a de Polignac number, because 11157627 - 2² = 11157623 is a prime.

It is a super-3 number, since 3×11157627³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11157594 and 11157603.

It is not an unprimeable number, because it can be changed into a prime (11157623) 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, 7752 + ... + 9077.

It is an arithmetic number, because the mean of its divisors is an integer number (1060290).

Almost surely, 2^11157627 is an apocalyptic number.

11157627 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11157627 is a deficient number, since it is larger than the sum of its proper divisors (5807013).

11157627 is a wasteful number, since it uses less digits than its factorization.

11157627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16862.

The product of its digits is 2940, while the sum is 30.

The square root of 11157627 is about 3340.3034293309. The cubic root of 11157627 is about 223.4552758479.

The spelling of 11157627 in words is "eleven million, one hundred fifty-seven thousand, six hundred twenty-seven".