413535 has 16 divisors (see below), whose sum is σ = 696960. Its totient is φ = 208800.

The previous prime is 413533. The next prime is 413537. The reversal of 413535 is 535314.

413535 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (413533) and next prime (413537).

It is not a de Polignac number, because 413535 - 2¹ = 413533 is a prime.

It is a super-2 number, since 2×413535² = 342022392450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413533) 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 in 15 ways as a sum of consecutive naturals, for example, 441 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (43560).

2⁴¹³⁵³⁵ is an apocalyptic number.

413535 is a deficient number, since it is larger than the sum of its proper divisors (283425).

413535 is a wasteful number, since it uses less digits than its factorization.

413535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478.

The product of its digits is 900, while the sum is 21.

The square root of 413535 is about 643.0668705508. The cubic root of 413535 is about 74.5024847902.

Adding to 413535 its reverse (535314), we get a palindrome (948849).

The spelling of 413535 in words is "four hundred thirteen thousand, five hundred thirty-five".