112580693 has 2 divisors, whose sum is σ = 112580694. Its totient is φ = 112580692.

The previous prime is 112580669. The next prime is 112580729. The reversal of 112580693 is 396085211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62694724 + 49885969 = 7918^2 + 7063^2 .

It is an emirp because it is prime and its reverse (396085211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112580693 - 2²⁰ = 111532117 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112580393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56290346 + 56290347.

It is an arithmetic number, because the mean of its divisors is an integer number (56290347).

Almost surely, 2^112580693 is an apocalyptic number.

112580693 is the 5672-nd centered heptagonal number.

It is an amenable number.

112580693 is a deficient number, since it is larger than the sum of its proper divisors (1).

112580693 is an equidigital number, since it uses as much as digits as its factorization.

112580693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 112580693 is about 10610.4049404346. The cubic root of 112580693 is about 482.8600843254.

It can be divided in two parts, 1125 and 80693, that added together give a palindrome (81818).

The spelling of 112580693 in words is "one hundred twelve million, five hundred eighty thousand, six hundred ninety-three".