401967 has 12 divisors (see below), whose sum is σ = 591240. Its totient is φ = 263088.

The previous prime is 401959. The next prime is 401981. The reversal of 401967 is 769104.

It is not a de Polignac number, because 401967 - 2³ = 401959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 401967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153 + ... + 909.

It is an arithmetic number, because the mean of its divisors is an integer number (49270).

2⁴⁰¹⁹⁶⁷ is an apocalyptic number.

401967 is a deficient number, since it is larger than the sum of its proper divisors (189273).

401967 is a wasteful number, since it uses less digits than its factorization.

401967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 401967 is about 634.0086750195. The cubic root of 401967 is about 73.8012073744.

The spelling of 401967 in words is "four hundred one thousand, nine hundred sixty-seven".