113564 has 24 divisors (see below), whose sum is σ = 226800. Its totient is φ = 49280.

The previous prime is 113557. The next prime is 113567. The reversal of 113564 is 465311.

113564 = T₁ + T₂ + ... + T₈₇.

113564 is a nontrivial binomial coefficient, being equal to C(89, 3).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113567) by changing a digit.

It is the 87-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1232 + ... + 1320.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹¹³⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

113564 is a deficient number, since it is larger than the sum of its proper divisors (113236).

113564 is a wasteful number, since it uses less digits than its factorization.

113564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 131 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 113564 is about 336.9925815207. The cubic root of 113564 is about 48.4261816774.

Adding to 113564 its reverse (465311), we get a palindrome (578875).

It can be divided in two parts, 11 and 3564, that multiplied together give a square (39204 = 198²).

The spelling of 113564 in words is "one hundred thirteen thousand, five hundred sixty-four".