427933 has 4 divisors (see below), whose sum is σ = 466848. Its totient is φ = 389020.

The previous prime is 427919. The next prime is 427939. The reversal of 427933 is 339724.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 427933 - 2⁹ = 427421 is a prime.

It is a super-3 number, since 3×427933³ = 235097813338725711, which contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19441 + ... + 19462.

It is an arithmetic number, because the mean of its divisors is an integer number (116712).

2⁴²⁷⁹³³ is an apocalyptic number.

It is an amenable number.

427933 is a deficient number, since it is larger than the sum of its proper divisors (38915).

427933 is a wasteful number, since it uses less digits than its factorization.

427933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38914.

The product of its digits is 4536, while the sum is 28.

The square root of 427933 is about 654.1658811036. The cubic root of 427933 is about 75.3572878286.

Subtracting from 427933 its reverse (339724), we obtain a square (88209 = 297²).

The spelling of 427933 in words is "four hundred twenty-seven thousand, nine hundred thirty-three".