113577 has 12 divisors (see below), whose sum is σ = 162096. Its totient is φ = 70720.

The previous prime is 113567. The next prime is 113591. The reversal of 113577 is 775311.

It is not a de Polignac number, because 113577 - 2⁶ = 113513 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 10, base 12 and base 15.

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802 + ... + 932.

It is an arithmetic number, because the mean of its divisors is an integer number (13508).

2¹¹³⁵⁷⁷ is an apocalyptic number.

113577 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

113577 is a deficient number, since it is larger than the sum of its proper divisors (48519).

113577 is a wasteful number, since it uses less digits than its factorization.

113577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its digits is 735, while the sum is 24.

The square root of 113577 is about 337.0118692272. The cubic root of 113577 is about 48.4280294353.

Adding to 113577 its reverse (775311), we get a palindrome (888888).

The spelling of 113577 in words is "one hundred thirteen thousand, five hundred seventy-seven".