420113 has 4 divisors (see below), whose sum is σ = 422640. Its totient is φ = 417588.

The previous prime is 420103. The next prime is 420149. The reversal of 420113 is 311024.

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 420113 - 2⁴ = 420097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420094 and 420103.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420113.

It is not an unprimeable number, because it can be changed into a prime (420103) 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, 995 + ... + 1352.

It is an arithmetic number, because the mean of its divisors is an integer number (105660).

2⁴²⁰¹¹³ is an apocalyptic number.

It is an amenable number.

420113 is a deficient number, since it is larger than the sum of its proper divisors (2527).

420113 is a wasteful number, since it uses less digits than its factorization.

420113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526.

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

The square root of 420113 is about 648.1612453703. The cubic root of 420113 is about 74.8954394809.

Adding to 420113 its reverse (311024), we get a palindrome (731137).

The spelling of 420113 in words is "four hundred twenty thousand, one hundred thirteen".