413561 has 4 divisors (see below), whose sum is σ = 415332. Its totient is φ = 411792.

The previous prime is 413557. The next prime is 413579. The reversal of 413561 is 165314.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 165314 = 2 ⋅82657.

It can be written as a sum of positive squares in 2 ways, for example, as 219961 + 193600 = 469^2 + 440^2 .

It is a cyclic number.

It is not a de Polignac number, because 413561 - 2² = 413557 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 470 + ... + 1023.

It is an arithmetic number, because the mean of its divisors is an integer number (103833).

2⁴¹³⁵⁶¹ is an apocalyptic number.

It is an amenable number.

413561 is a deficient number, since it is larger than the sum of its proper divisors (1771).

413561 is a wasteful number, since it uses less digits than its factorization.

413561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770.

The product of its digits is 360, while the sum is 20.

The square root of 413561 is about 643.0870858601. The cubic root of 413561 is about 74.5040461445.

Adding to 413561 its reverse (165314), we get a palindrome (578875).

The spelling of 413561 in words is "four hundred thirteen thousand, five hundred sixty-one".