427009 has 6 divisors (see below), whose sum is σ = 469490. Its totient is φ = 388080.

The previous prime is 427001. The next prime is 427013. The reversal of 427009 is 900724.

427009 = 192² + 193² + ... + 202².

It can be written as a sum of positive squares in only one way, i.e., 278784 + 148225 = 528^2 + 385^2 .

It is not a de Polignac number, because 427009 - 2³ = 427001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (427001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1644 + ... + 1885.

It is a Proth number, since it is equal to 417 ⋅ 2¹⁰ + 1 and 417 < 2¹⁰.

2⁴²⁷⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

427009 is a deficient number, since it is larger than the sum of its proper divisors (42481).

427009 is a wasteful number, since it uses less digits than its factorization.

427009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 427009 is about 653.4592565723. The cubic root of 427009 is about 75.3030111781.

The spelling of 427009 in words is "four hundred twenty-seven thousand, nine".