427761 has 10 divisors (see below), whose sum is σ = 639122. Its totient is φ = 285120.

The previous prime is 427751. The next prime is 427781. The reversal of 427761 is 167724.

It can be written as a sum of positive squares in only one way, i.e., 291600 + 136161 = 540^2 + 369^2 .

It is not a de Polignac number, because 427761 - 2⁹ = 427249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 427761.

It is not an unprimeable number, because it can be changed into a prime (427711) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2560 + ... + 2721.

2⁴²⁷⁷⁶¹ is an apocalyptic number.

It is an amenable number.

427761 is a deficient number, since it is larger than the sum of its proper divisors (211361).

427761 is an equidigital number, since it uses as much as digits as its factorization.

427761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5293 (or 5284 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 427761 is about 654.0344027649. The cubic root of 427761 is about 75.3471903052.

The spelling of 427761 in words is "four hundred twenty-seven thousand, seven hundred sixty-one".