401667 has 16 divisors (see below), whose sum is σ = 632832. Its totient is φ = 221760.

The previous prime is 401651. The next prime is 401669. The reversal of 401667 is 766104.

It is not a de Polignac number, because 401667 - 2⁴ = 401651 is a prime.

It is a super-2 number, since 2×401667² = 322672757778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401669) 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, 343 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (39552).

2⁴⁰¹⁶⁶⁷ is an apocalyptic number.

401667 is a deficient number, since it is larger than the sum of its proper divisors (231165).

401667 is a wasteful number, since it uses less digits than its factorization.

401667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 401667 is about 633.7720410368. The cubic root of 401667 is about 73.7828427885.

The spelling of 401667 in words is "four hundred one thousand, six hundred sixty-seven".