112736509 has 2 divisors, whose sum is σ = 112736510. Its totient is φ = 112736508.

The previous prime is 112736467. The next prime is 112736549. The reversal of 112736509 is 905637211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87516025 + 25220484 = 9355^2 + 5022^2 .

It is a cyclic number.

It is not a de Polignac number, because 112736509 - 2⁷ = 112736381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112736549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56368254 + 56368255.

It is an arithmetic number, because the mean of its divisors is an integer number (56368255).

Almost surely, 2^112736509 is an apocalyptic number.

It is an amenable number.

112736509 is a deficient number, since it is larger than the sum of its proper divisors (1).

112736509 is an equidigital number, since it uses as much as digits as its factorization.

112736509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 112736509 is about 10617.7450054143. The cubic root of 112736509 is about 483.0827472619.

It can be divided in two parts, 1127 and 36509, that added together give a square (37636 = 194²).

The spelling of 112736509 in words is "one hundred twelve million, seven hundred thirty-six thousand, five hundred nine".