401193361 has 2 divisors, whose sum is σ = 401193362. Its totient is φ = 401193360.

The previous prime is 401193349. The next prime is 401193383. The reversal of 401193361 is 163391104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 384944400 + 16248961 = 19620^2 + 4031^2 .

It is a cyclic number.

It is not a de Polignac number, because 401193361 - 2¹⁵ = 401160593 is a prime.

It is a super-2 number, since 2×401193361² = 321912225820952642, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401193391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200596680 + 200596681.

It is an arithmetic number, because the mean of its divisors is an integer number (200596681).

Almost surely, 2^401193361 is an apocalyptic number.

It is an amenable number.

401193361 is a deficient number, since it is larger than the sum of its proper divisors (1).

401193361 is an equidigital number, since it uses as much as digits as its factorization.

401193361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 401193361 is about 20029.8118064050. The cubic root of 401193361 is about 737.5383021762.

The spelling of 401193361 in words is "four hundred one million, one hundred ninety-three thousand, three hundred sixty-one".