113527 has 4 divisors (see below), whose sum is σ = 114696. Its totient is φ = 112360.

The previous prime is 113513. The next prime is 113537. The reversal of 113527 is 725311.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 725311 = 37 ⋅19603.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113527 is a prime.

It is a pancake number, because a pancake can be divided into 113527 parts by 476 straight cuts.

It is a Duffinian number.

113527 is a lucky number.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a 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 in 3 ways as a sum of consecutive naturals, for example, 424 + ... + 637.

It is an arithmetic number, because the mean of its divisors is an integer number (28674).

2¹¹³⁵²⁷ is an apocalyptic number.

113527 is a deficient number, since it is larger than the sum of its proper divisors (1169).

113527 is a wasteful number, since it uses less digits than its factorization.

113527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168.

The product of its digits is 210, while the sum is 19.

The square root of 113527 is about 336.9376796976. The cubic root of 113527 is about 48.4209219021.

Adding to 113527 its reverse (725311), we get a palindrome (838838).

The spelling of 113527 in words is "one hundred thirteen thousand, five hundred twenty-seven".