112777033 has 2 divisors, whose sum is σ = 112777034. Its totient is φ = 112777032.

The previous prime is 112777009. The next prime is 112777087. The reversal of 112777033 is 330777211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109998144 + 2778889 = 10488^2 + 1667^2 .

It is a cyclic number.

It is not a de Polignac number, because 112777033 - 2⁵ = 112777001 is a prime.

It is equal to p_6453076 and since 112777033 and 6453076 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 112776986 and 112777004.

It is not a weakly prime, because it can be changed into another prime (112777933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56388516 + 56388517.

It is an arithmetic number, because the mean of its divisors is an integer number (56388517).

Almost surely, 2^112777033 is an apocalyptic number.

It is an amenable number.

112777033 is a deficient number, since it is larger than the sum of its proper divisors (1).

112777033 is an equidigital number, since it uses as much as digits as its factorization.

112777033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6174, while the sum is 31.

The square root of 112777033 is about 10619.6531487615. The cubic root of 112777033 is about 483.1406229234.

The spelling of 112777033 in words is "one hundred twelve million, seven hundred seventy-seven thousand, thirty-three".