427635 has 48 divisors (see below), whose sum is σ = 864864. Its totient is φ = 193536.

The previous prime is 427621. The next prime is 427681. The reversal of 427635 is 536724.

It is a happy number.

427635 is a `hidden beast` number, since 4 + 27 + 635 = 666.

It is not a de Polignac number, because 427635 - 2⁴ = 427619 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (5040) is a multiple of the sum of its prime factors (84).

It is a junction number, because it is equal to n+sod(n) for n = 427599 and 427608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9924 + ... + 9966.

It is an arithmetic number, because the mean of its divisors is an integer number (18018).

2⁴²⁷⁶³⁵ is an apocalyptic number.

427635 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

427635 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427635 is a wasteful number, since it uses less digits than its factorization.

427635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 81 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 427635 is about 653.9380704623. The cubic root of 427635 is about 75.3397915644.

The spelling of 427635 in words is "four hundred twenty-seven thousand, six hundred thirty-five".