401057 has 2 divisors, whose sum is σ = 401058. Its totient is φ = 401056.

The previous prime is 401053. The next prime is 401069. The reversal of 401057 is 750104.

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., 215296 + 185761 = 464^2 + 431^2 .

It is a cyclic number.

It is not a de Polignac number, because 401057 - 2² = 401053 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401057.

It is not a weakly prime, because it can be changed into another prime (401053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200528 + 200529.

It is an arithmetic number, because the mean of its divisors is an integer number (200529).

2⁴⁰¹⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

401057 is a deficient number, since it is larger than the sum of its proper divisors (1).

401057 is an equidigital number, since it uses as much as digits as its factorization.

401057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 401057 is about 633.2906125942. The cubic root of 401057 is about 73.7454732451.

The spelling of 401057 in words is "four hundred one thousand, fifty-seven".