420705 has 12 divisors (see below), whose sum is σ = 729300. Its totient is φ = 224352.

The previous prime is 420691. The next prime is 420731. The reversal of 420705 is 507024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 154449 = 516^2 + 393^2 .

It is not a de Polignac number, because 420705 - 2⁹ = 420193 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4630 + ... + 4719.

It is an arithmetic number, because the mean of its divisors is an integer number (60775).

2⁴²⁰⁷⁰⁵ is an apocalyptic number.

420705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420705 is a deficient number, since it is larger than the sum of its proper divisors (308595).

420705 is a wasteful number, since it uses less digits than its factorization.

420705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9360 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 420705 is about 648.6177610889. The cubic root of 420705 is about 74.9306024729.

Adding to 420705 its reverse (507024), we get a palindrome (927729).

The spelling of 420705 in words is "four hundred twenty thousand, seven hundred five".