471965 has 16 divisors (see below), whose sum is σ = 625968. Its totient is φ = 339456.

The previous prime is 471959. The next prime is 471997. The reversal of 471965 is 569174.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5476 + 466489 = 74^2 + 683^2 .

It is not a de Polignac number, because 471965 - 2⁴ = 471949 is a prime.

It is a super-2 number, since 2×471965² = 445501922450, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3377 + ... + 3513.

It is an arithmetic number, because the mean of its divisors is an integer number (39123).

2⁴⁷¹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

471965 is a deficient number, since it is larger than the sum of its proper divisors (154003).

471965 is a wasteful number, since it uses less digits than its factorization.

471965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208.

The product of its digits is 7560, while the sum is 32.

The square root of 471965 is about 686.9970887857. The cubic root of 471965 is about 77.8580037660.

The spelling of 471965 in words is "four hundred seventy-one thousand, nine hundred sixty-five".