420013 has 4 divisors (see below), whose sum is σ = 458208. Its totient is φ = 381820.

The previous prime is 420001. The next prime is 420029. The reversal of 420013 is 310024.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 420013 - 2¹³ = 411821 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19081 + ... + 19102.

It is an arithmetic number, because the mean of its divisors is an integer number (114552).

2⁴²⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

420013 is a deficient number, since it is larger than the sum of its proper divisors (38195).

420013 is a wasteful number, since it uses less digits than its factorization.

420013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38194.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 420013 is about 648.0840994809. The cubic root of 420013 is about 74.8894965257.

Adding to 420013 its reverse (310024), we get a palindrome (730037).

The spelling of 420013 in words is "four hundred twenty thousand, thirteen".