421007 has 4 divisors (see below), whose sum is σ = 423696. Its totient is φ = 418320.

The previous prime is 420997. The next prime is 421009. The reversal of 421007 is 700124.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 421007 - 2¹⁸ = 158863 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420982 and 421000.

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 421007.

It is not an unprimeable number, because it can be changed into a prime (421009) 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 3 ways as a sum of consecutive naturals, for example, 1094 + ... + 1427.

It is an arithmetic number, because the mean of its divisors is an integer number (105924).

2⁴²¹⁰⁰⁷ is an apocalyptic number.

421007 is a deficient number, since it is larger than the sum of its proper divisors (2689).

421007 is a wasteful number, since it uses less digits than its factorization.

421007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688.

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 421007 is about 648.8505220773. The cubic root of 421007 is about 74.9485276457.

The spelling of 421007 in words is "four hundred twenty-one thousand, seven", and thus it is an iban number.