112577 has 2 divisors, whose sum is σ = 112578. Its totient is φ = 112576.

The previous prime is 112573. The next prime is 112583. The reversal of 112577 is 775211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101761 + 10816 = 319^2 + 104^2 .

It is a cyclic number.

It is not a de Polignac number, because 112577 - 2² = 112573 is a prime.

It is a Chen prime.

It is a plaindrome in base 10.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 112577.

It is not a weakly prime, because it can be changed into another prime (112571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56288 + 56289.

It is an arithmetic number, because the mean of its divisors is an integer number (56289).

2¹¹²⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

112577 is a deficient number, since it is larger than the sum of its proper divisors (1).

112577 is an equidigital number, since it uses as much as digits as its factorization.

112577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 490, while the sum is 23.

The square root of 112577 is about 335.5249618136. The cubic root of 112577 is about 48.2854804492.

Adding to 112577 its reverse (775211), we get a palindrome (887788).

The spelling of 112577 in words is "one hundred twelve thousand, five hundred seventy-seven".