401125 has 8 divisors (see below), whose sum is σ = 500760. Its totient is φ = 320800.

The previous prime is 401119. The next prime is 401161. The reversal of 401125 is 521104.

It can be written as a sum of positive squares in 4 ways, for example, as 12996 + 388129 = 114^2 + 623^2 .

It is not a de Polignac number, because 401125 - 2⁷ = 400997 is a prime.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 1480 + ... + 1729.

It is an arithmetic number, because the mean of its divisors is an integer number (62595).

2⁴⁰¹¹²⁵ is an apocalyptic number.

It is an amenable number.

401125 is a deficient number, since it is larger than the sum of its proper divisors (99635).

401125 is an equidigital number, since it uses as much as digits as its factorization.

401125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 401125 is about 633.3442981507. The cubic root of 401125 is about 73.7496409060.

Adding to 401125 its reverse (521104), we get a palindrome (922229).

The spelling of 401125 in words is "four hundred one thousand, one hundred twenty-five".