413381 has 4 divisors (see below), whose sum is σ = 416172. Its totient is φ = 410592.

The previous prime is 413353. The next prime is 413411. The reversal of 413381 is 183314.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 93025 + 320356 = 305^2 + 566^2 .

It is a cyclic number.

It is not a de Polignac number, because 413381 - 2¹⁴ = 396997 is a prime.

It is a super-2 number, since 2×413381² = 341767702322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413081) 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, 1160 + ... + 1473.

It is an arithmetic number, because the mean of its divisors is an integer number (104043).

2⁴¹³³⁸¹ is an apocalyptic number.

It is an amenable number.

413381 is a deficient number, since it is larger than the sum of its proper divisors (2791).

413381 is a wasteful number, since it uses less digits than its factorization.

413381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790.

The product of its digits is 288, while the sum is 20.

The square root of 413381 is about 642.9471206872. The cubic root of 413381 is about 74.4932354262.

Adding to 413381 its reverse (183314), we get a palindrome (596695).

The spelling of 413381 in words is "four hundred thirteen thousand, three hundred eighty-one".