113541 has 4 divisors (see below), whose sum is σ = 151392. Its totient is φ = 75692.

The previous prime is 113539. The next prime is 113557. The reversal of 113541 is 145311.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 145311 = 3 ⋅48437.

It is a cyclic number.

It is not a de Polignac number, because 113541 - 2¹ = 113539 is a prime.

It is a D-number.

113541 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 113541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18921 + ... + 18926.

It is an arithmetic number, because the mean of its divisors is an integer number (37848).

2¹¹³⁵⁴¹ is an apocalyptic number.

It is an amenable number.

113541 is a deficient number, since it is larger than the sum of its proper divisors (37851).

113541 is an equidigital number, since it uses as much as digits as its factorization.

113541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37850.

The product of its digits is 60, while the sum is 15.

The square root of 113541 is about 336.9584544124. The cubic root of 113541 is about 48.4229122217.

Subtracting from 113541 its sum of digits (15), we obtain a triangular number (113526 = T₄₇₆).

Adding to 113541 its reverse (145311), we get a palindrome (258852).

It can be divided in two parts, 1135 and 41, that added together give a triangular number (1176 = T₄₈).

The spelling of 113541 in words is "one hundred thirteen thousand, five hundred forty-one".