401085 has 16 divisors (see below), whose sum is σ = 713280. Its totient is φ = 213840.

The previous prime is 401077. The next prime is 401087. The reversal of 401085 is 580104.

It is not a de Polignac number, because 401085 - 2³ = 401077 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401085.

It is not an unprimeable number, because it can be changed into a prime (401087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351 + ... + 1620.

It is an arithmetic number, because the mean of its divisors is an integer number (44580).

2⁴⁰¹⁰⁸⁵ is an apocalyptic number.

401085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401085 is a deficient number, since it is larger than the sum of its proper divisors (312195).

401085 is a wasteful number, since it uses less digits than its factorization.

401085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 401085 is about 633.3127189628. The cubic root of 401085 is about 73.7471893978.

Adding to 401085 its reverse (580104), we get a palindrome (981189).

It can be divided in two parts, 4010 and 85, that added together give a triangular number (4095 = T₉₀).

The spelling of 401085 in words is "four hundred one thousand, eighty-five".