112132117 has 2 divisors, whose sum is σ = 112132118. Its totient is φ = 112132116.

The previous prime is 112132081. The next prime is 112132133. The reversal of 112132117 is 711231211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73119601 + 39012516 = 8551^2 + 6246^2 .

It is a cyclic number.

It is not a de Polignac number, because 112132117 - 2¹⁵ = 112099349 is a prime.

It is a super-2 number, since 2×112132117² = 25147223325803378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112132094 and 112132103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112132157) 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 as a sum of consecutive naturals, namely, 56066058 + 56066059.

It is an arithmetic number, because the mean of its divisors is an integer number (56066059).

Almost surely, 2^112132117 is an apocalyptic number.

It is an amenable number.

112132117 is a deficient number, since it is larger than the sum of its proper divisors (1).

112132117 is an equidigital number, since it uses as much as digits as its factorization.

112132117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84, while the sum is 19.

The square root of 112132117 is about 10589.2453461047. The cubic root of 112132117 is about 482.2179145272.

Adding to 112132117 its reverse (711231211), we get a palindrome (823363328).

The spelling of 112132117 in words is "one hundred twelve million, one hundred thirty-two thousand, one hundred seventeen".