401105897 has 2 divisors, whose sum is σ = 401105898. Its totient is φ = 401105896.

The previous prime is 401105879. The next prime is 401105899. The reversal of 401105897 is 798501104.

Together with previous prime (401105879) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 365153881 + 35952016 = 19109^2 + 5996^2 .

It is a cyclic number.

It is not a de Polignac number, because 401105897 - 2¹⁶ = 401040361 is a prime.

Together with 401105899, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (401105899) 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, 200552948 + 200552949.

It is an arithmetic number, because the mean of its divisors is an integer number (200552949).

Almost surely, 2^401105897 is an apocalyptic number.

It is an amenable number.

401105897 is a deficient number, since it is larger than the sum of its proper divisors (1).

401105897 is an equidigital number, since it uses as much as digits as its factorization.

401105897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 401105897 is about 20027.6283418681. The cubic root of 401105897 is about 737.4847014733.

The spelling of 401105897 in words is "four hundred one million, one hundred five thousand, eight hundred ninety-seven".