111161627 has 8 divisors (see below), whose sum is σ = 113702400. Its totient is φ = 108628264.

The previous prime is 111161621. The next prime is 111161639. The reversal of 111161627 is 726161111.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111161627 - 2¹⁶ = 111096091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111161596 and 111161605.

It is not an unprimeable number, because it can be changed into a prime (111161621) 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 7 ways as a sum of consecutive naturals, for example, 38024 + ... + 40842.

It is an arithmetic number, because the mean of its divisors is an integer number (14212800).

Almost surely, 2^111161627 is an apocalyptic number.

111161627 is a deficient number, since it is larger than the sum of its proper divisors (2540773).

111161627 is an equidigital number, since it uses as much as digits as its factorization.

111161627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705.

The product of its digits is 504, while the sum is 26.

The square root of 111161627 is about 10543.3214406087. The cubic root of 111161627 is about 480.8227022497.

The spelling of 111161627 in words is "one hundred eleven million, one hundred sixty-one thousand, six hundred twenty-seven".