413261 has 4 divisors (see below), whose sum is σ = 426624. Its totient is φ = 399900.

The previous prime is 413251. The next prime is 413263. The reversal of 413261 is 162314.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 162314 = 2 ⋅81157.

It is not a de Polignac number, because 413261 - 2⁶ = 413197 is a prime.

It is a d-powerful number, because it can be written as 4³ + 1 + 2¹⁷ + 3⁷ + 6⁷ + 1 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413263) 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, 6635 + ... + 6696.

It is an arithmetic number, because the mean of its divisors is an integer number (106656).

2⁴¹³²⁶¹ is an apocalyptic number.

It is an amenable number.

413261 is a deficient number, since it is larger than the sum of its proper divisors (13363).

413261 is a wasteful number, since it uses less digits than its factorization.

413261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13362.

The product of its digits is 144, while the sum is 17.

The square root of 413261 is about 642.8537936421. The cubic root of 413261 is about 74.4860265371.

Adding to 413261 its reverse (162314), we get a palindrome (575575).

The spelling of 413261 in words is "four hundred thirteen thousand, two hundred sixty-one".