401205 has 16 divisors (see below), whose sum is σ = 733824. Its totient is φ = 183360.

The previous prime is 401201. The next prime is 401209. The reversal of 401205 is 502104.

It is an interprime number because it is at equal distance from previous prime (401201) and next prime (401209).

It is not a de Polignac number, because 401205 - 2² = 401201 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401201) 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 in 15 ways as a sum of consecutive naturals, for example, 1806 + ... + 2015.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

2⁴⁰¹²⁰⁵ is an apocalyptic number.

It is an amenable number.

401205 is a deficient number, since it is larger than the sum of its proper divisors (332619).

401205 is a wasteful number, since it uses less digits than its factorization.

401205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 401205 is about 633.4074518033. The cubic root of 401205 is about 73.7545434336.

Adding to 401205 its reverse (502104), we get a palindrome (903309).

It can be divided in two parts, 401 and 205, that added together give a palindrome (606).

The spelling of 401205 in words is "four hundred one thousand, two hundred five".