416113 has 6 divisors (see below), whose sum is σ = 430962. Its totient is φ = 401760.

The previous prime is 416107. The next prime is 416147. The reversal of 416113 is 311614.

It can be written as a sum of positive squares in only one way, i.e., 277729 + 138384 = 527^2 + 372^2 .

It is a de Polignac number, because none of the positive numbers 2^k-416113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 745 + ... + 1177.

It is an arithmetic number, because the mean of its divisors is an integer number (71827).

2⁴¹⁶¹¹³ is an apocalyptic number.

It is an amenable number.

416113 is a deficient number, since it is larger than the sum of its proper divisors (14849).

416113 is an equidigital number, since it uses as much as digits as its factorization.

416113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 464 counting only the distinct ones).

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

The square root of 416113 is about 645.0682134472. The cubic root of 416113 is about 74.6569817193.

Adding to 416113 its reverse (311614), we get a palindrome (727727).

It can be divided in two parts, 41611 and 3, that added together give a palindrome (41614).

The spelling of 416113 in words is "four hundred sixteen thousand, one hundred thirteen".