413689 has 2 divisors, whose sum is σ = 413690. Its totient is φ = 413688.

The previous prime is 413683. The next prime is 413711. The reversal of 413689 is 986314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 284089 + 129600 = 533^2 + 360^2 .

It is a cyclic number.

It is not a de Polignac number, because 413689 - 2³ = 413681 is a prime.

It is a super-2 number, since 2×413689² = 342277177442, which contains 22 as substring.

413689 is a lucky number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 413689.

It is not a weakly prime, because it can be changed into another prime (413681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206844 + 206845.

It is an arithmetic number, because the mean of its divisors is an integer number (206845).

2⁴¹³⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

413689 is a deficient number, since it is larger than the sum of its proper divisors (1).

413689 is an equidigital number, since it uses as much as digits as its factorization.

413689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 31.

The square root of 413689 is about 643.1865981191. The cubic root of 413689 is about 74.5117318581.

It can be divided in two parts, 4136 and 89, that added together give a square (4225 = 65²).

The spelling of 413689 in words is "four hundred thirteen thousand, six hundred eighty-nine".