401813 has 2 divisors, whose sum is σ = 401814. Its totient is φ = 401812.

The previous prime is 401809. The next prime is 401827. The reversal of 401813 is 318104.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223729 + 178084 = 473^2 + 422^2 .

It is a cyclic number.

It is not a de Polignac number, because 401813 - 2² = 401809 is a prime.

It is a super-2 number, since 2×401813² = 322907373938, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 401791 and 401800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200906 + 200907.

It is an arithmetic number, because the mean of its divisors is an integer number (200907).

2⁴⁰¹⁸¹³ is an apocalyptic number.

It is an amenable number.

401813 is a deficient number, since it is larger than the sum of its proper divisors (1).

401813 is an equidigital number, since it uses as much as digits as its factorization.

401813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 401813 is about 633.8872139427. The cubic root of 401813 is about 73.7917813621.

Adding to 401813 its reverse (318104), we get a palindrome (719917).

The spelling of 401813 in words is "four hundred one thousand, eight hundred thirteen".