421013 has 4 divisors (see below), whose sum is σ = 430848. Its totient is φ = 411180.

The previous prime is 421009. The next prime is 421019. The reversal of 421013 is 310124.

It is a happy number.

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 421013 - 2² = 421009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420985 and 421003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421019) 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, 4853 + ... + 4938.

It is an arithmetic number, because the mean of its divisors is an integer number (107712).

2⁴²¹⁰¹³ is an apocalyptic number.

421013 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

421013 is a deficient number, since it is larger than the sum of its proper divisors (9835).

421013 is an equidigital number, since it uses as much as digits as its factorization.

421013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9834.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 421013 is about 648.8551456219. The cubic root of 421013 is about 74.9488836881.

Adding to 421013 its reverse (310124), we get a palindrome (731137).

Subtracting from 421013 its reverse (310124), we obtain a square (110889 = 333²).

The spelling of 421013 in words is "four hundred twenty-one thousand, thirteen".