401113 has 2 divisors, whose sum is σ = 401114. Its totient is φ = 401112.

The previous prime is 401101. The next prime is 401119. The reversal of 401113 is 311104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 374544 + 26569 = 612^2 + 163^2 .

It is a cyclic number.

It is not a de Polignac number, because 401113 - 2⁹ = 400601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 401113.

It is not a weakly prime, because it can be changed into another prime (401119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200556 + 200557.

It is an arithmetic number, because the mean of its divisors is an integer number (200557).

2⁴⁰¹¹¹³ is an apocalyptic number.

It is an amenable number.

401113 is a deficient number, since it is larger than the sum of its proper divisors (1).

401113 is an equidigital number, since it uses as much as digits as its factorization.

401113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 401113 is about 633.3348245596. The cubic root of 401113 is about 73.7489054707.

Adding to 401113 its reverse (311104), we get a palindrome (712217).

Subtracting from 401113 its reverse (311104), we obtain a palindrome (90009).

The spelling of 401113 in words is "four hundred one thousand, one hundred thirteen".