427633 has 8 divisors (see below), whose sum is σ = 457920. Its totient is φ = 398160.

The previous prime is 427621. The next prime is 427681. The reversal of 427633 is 336724.

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

It is a cyclic number.

It is not a de Polignac number, because 427633 - 2¹⁷ = 296561 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 427598 and 427607.

It is not an unprimeable number, because it can be changed into a prime (427333) 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, 1191 + ... + 1507.

It is an arithmetic number, because the mean of its divisors is an integer number (57240).

2⁴²⁷⁶³³ is an apocalyptic number.

It is an amenable number.

427633 is a deficient number, since it is larger than the sum of its proper divisors (30287).

427633 is a wasteful number, since it uses less digits than its factorization.

427633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407.

The product of its digits is 3024, while the sum is 25.

The square root of 427633 is about 653.9365412638. The cubic root of 427633 is about 75.3396741123.

Subtracting from 427633 its reverse (336724), we obtain a palindrome (90909).

The spelling of 427633 in words is "four hundred twenty-seven thousand, six hundred thirty-three".