471825 has 30 divisors (see below), whose sum is σ = 877734. Its totient is φ = 250560.

The previous prime is 471817. The next prime is 471841. The reversal of 471825 is 528174.

It can be written as a sum of positive squares in 3 ways, for example, as 3969 + 467856 = 63^2 + 684^2 .

It is not a de Polignac number, because 471825 - 2³ = 471817 is a prime.

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

It is a Curzon number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1909 + ... + 2141.

2⁴⁷¹⁸²⁵ is an apocalyptic number.

471825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

471825 is a deficient number, since it is larger than the sum of its proper divisors (405909).

471825 is a wasteful number, since it uses less digits than its factorization.

471825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 471825 is about 686.8951885113. The cubic root of 471825 is about 77.8503046086.

Adding to 471825 its reverse (528174), we get a palindrome (999999).

It can be divided in two parts, 471 and 825, that added together give a 4-th power (1296 = 6⁴).

The spelling of 471825 in words is "four hundred seventy-one thousand, eight hundred twenty-five".