471933 has 32 divisors (see below), whose sum is σ = 875520. Its totient is φ = 244080.

The previous prime is 471931. The next prime is 471943. The reversal of 471933 is 339174.

It is not a de Polignac number, because 471933 - 2¹ = 471931 is a prime.

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

471933 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 471897 and 471906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1966 + ... + 2192.

It is an arithmetic number, because the mean of its divisors is an integer number (27360).

2⁴⁷¹⁹³³ is an apocalyptic number.

It is an amenable number.

471933 is a deficient number, since it is larger than the sum of its proper divisors (403587).

471933 is a wasteful number, since it uses less digits than its factorization.

471933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 471933 is about 686.9737986270. The cubic root of 471933 is about 77.8562440929.

Subtracting from 471933 its sum of digits (27), we obtain a triangular number (471906 = T₉₇₁).

The spelling of 471933 in words is "four hundred seventy-one thousand, nine hundred thirty-three".