413287 has 16 divisors (see below), whose sum is σ = 525312. Its totient is φ = 316800.

The previous prime is 413267. The next prime is 413293. The reversal of 413287 is 782314.

It is a cyclic number.

It is not a de Polignac number, because 413287 - 2⁷ = 413159 is a prime.

It is a super-2 number, since 2×413287² = 341612288738, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413207) 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 15 ways as a sum of consecutive naturals, for example, 2662 + ... + 2812.

It is an arithmetic number, because the mean of its divisors is an integer number (32832).

413287 is a Friedman number, since it can be written as (3^(2*(4+1))-8)*7, using all its digits and the basic arithmetic operations.

2⁴¹³²⁸⁷ is an apocalyptic number.

413287 is a deficient number, since it is larger than the sum of its proper divisors (112025).

413287 is a wasteful number, since it uses less digits than its factorization.

413287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its digits is 1344, while the sum is 25.

The square root of 413287 is about 642.8740156516. The cubic root of 413287 is about 74.4875885815.

The spelling of 413287 in words is "four hundred thirteen thousand, two hundred eighty-seven".