113567 has 2 divisors, whose sum is σ = 113568. Its totient is φ = 113566.

The previous prime is 113557. The next prime is 113591. The reversal of 113567 is 765311.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 113567 - 2¹⁰ = 112543 is a prime.

It is a Chen prime.

It is a plaindrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56783 + 56784.

It is an arithmetic number, because the mean of its divisors is an integer number (56784).

2¹¹³⁵⁶⁷ is an apocalyptic number.

113567 is a deficient number, since it is larger than the sum of its proper divisors (1).

113567 is an equidigital number, since it uses as much as digits as its factorization.

113567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 630, while the sum is 23.

The square root of 113567 is about 336.9970326279. The cubic root of 113567 is about 48.4266080955.

Adding to 113567 its reverse (765311), we get a palindrome (878878).

The spelling of 113567 in words is "one hundred thirteen thousand, five hundred sixty-seven".