113569 has 3 divisors (see below), whose sum is σ = 113907. Its totient is φ = 113232.

The previous prime is 113567. The next prime is 113591. The reversal of 113569 is 965311.

113569 = T₃₃₆ + T₃₃₇.

The square root of 113569 is 337.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 965311 = 17 ⋅56783.

It can be written as a sum of positive squares in only one way, i.e., 30625 + 82944 = 175^2 + 288^2 .

It is not a de Polignac number, because 113569 - 2¹ = 113567 is a prime.

It is a super-2 number, since 2×113569² = 25795835522, which contains 22 as substring.

It is a Duffinian number.

113569 is a lucky number.

It is a plaindrome in base 10.

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

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 169 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (37969).

2¹¹³⁵⁶⁹ is an apocalyptic number.

113569 is the 337-th square number.

113569 is the 169-th centered octagonal number.

It is an amenable number.

113569 is a deficient number, since it is larger than the sum of its proper divisors (338).

113569 is an frugal number, since it uses more digits than its factorization.

113569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 337 counting only the distinct ones).

The product of its digits is 810, while the sum is 25.

The cubic root of 113569 is about 48.4268923702.

Multiplying 113569 by its sum of digits (25), we get a square (2839225 = 1685²).

The spelling of 113569 in words is "one hundred thirteen thousand, five hundred sixty-nine".