421767 has 20 divisors (see below), whose sum is σ = 650496. Its totient is φ = 272160.

The previous prime is 421741. The next prime is 421783. The reversal of 421767 is 767124.

It is not a de Polignac number, because 421767 - 2⁶ = 421703 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 421767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421717) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3258 + ... + 3384.

2⁴²¹⁷⁶⁷ is an apocalyptic number.

421767 is a deficient number, since it is larger than the sum of its proper divisors (228729).

421767 is a wasteful number, since it uses less digits than its factorization.

421767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 421767 is about 649.4359090780. The cubic root of 421767 is about 74.9935994538.

The spelling of 421767 in words is "four hundred twenty-one thousand, seven hundred sixty-seven".