413114 has 8 divisors (see below), whose sum is σ = 667380. Its totient is φ = 190656.

The previous prime is 413113. The next prime is 413129. The reversal of 413114 is 411314.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 366025 + 47089 = 605^2 + 217^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not an unprimeable number, because it can be changed into a prime (413111) 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 3 ways as a sum of consecutive naturals, for example, 7919 + ... + 7970.

2⁴¹³¹¹⁴ is an apocalyptic number.

413114 is a deficient number, since it is larger than the sum of its proper divisors (254266).

413114 is a wasteful number, since it uses less digits than its factorization.

413114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15904.

The product of its digits is 48, while the sum is 14.

The square root of 413114 is about 642.7394495439. The cubic root of 413114 is about 74.4771937459.

Adding to 413114 its reverse (411314), we get a palindrome (824428).

The spelling of 413114 in words is "four hundred thirteen thousand, one hundred fourteen".