113416 has 8 divisors (see below), whose sum is σ = 212670. Its totient is φ = 56704.

The previous prime is 113383. The next prime is 113417. The reversal of 113416 is 614311.

It can be written as a sum of positive squares in only one way, i.e., 60516 + 52900 = 246^2 + 230^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 113416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7081 + ... + 7096.

2¹¹³⁴¹⁶ is an apocalyptic number.

It is an amenable number.

113416 is a deficient number, since it is larger than the sum of its proper divisors (99254).

113416 is a wasteful number, since it uses less digits than its factorization.

113416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14183 (or 14179 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 113416 is about 336.7729205266. The cubic root of 113416 is about 48.4051357162.

Adding to 113416 its reverse (614311), we get a palindrome (727727).

It can be divided in two parts, 113 and 416, that added together give a square (529 = 23²).

The spelling of 113416 in words is "one hundred thirteen thousand, four hundred sixteen".