420117 has 8 divisors (see below), whose sum is σ = 564960. Its totient is φ = 277680.

The previous prime is 420103. The next prime is 420149. The reversal of 420117 is 711024.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 420117 - 2¹¹ = 418069 is a prime.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 420096 and 420105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (70620).

2⁴²⁰¹¹⁷ is an apocalyptic number.

It is an amenable number.

420117 is a deficient number, since it is larger than the sum of its proper divisors (144843).

420117 is a wasteful number, since it uses less digits than its factorization.

420117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203.

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 420117 is about 648.1643310149. The cubic root of 420117 is about 74.8956771795.

It can be divided in two parts, 4201 and 17, that multiplied together give a palindrome (71417).

The spelling of 420117 in words is "four hundred twenty thousand, one hundred seventeen", and thus it is an iban number.