409813 has 2 divisors, whose sum is σ = 409814. Its totient is φ = 409812.

The previous prime is 409781. The next prime is 409817. The reversal of 409813 is 318904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 381924 + 27889 = 618^2 + 167^2 .

It is a cyclic number.

It is not a de Polignac number, because 409813 - 2⁵ = 409781 is a prime.

It is equal to p₃₄₅₉₄ and since 409813 and 34594 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204906 + 204907.

It is an arithmetic number, because the mean of its divisors is an integer number (204907).

2⁴⁰⁹⁸¹³ is an apocalyptic number.

It is an amenable number.

409813 is a deficient number, since it is larger than the sum of its proper divisors (1).

409813 is an equidigital number, since it uses as much as digits as its factorization.

409813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 409813 is about 640.1663846220. The cubic root of 409813 is about 74.2782922635.

Subtracting from 409813 its reverse (318904), we obtain a palindrome (90909).

The spelling of 409813 in words is "four hundred nine thousand, eight hundred thirteen".