477965 has 8 divisors (see below), whose sum is σ = 579480. Its totient is φ = 378432.

The previous prime is 477947. The next prime is 477973. The reversal of 477965 is 569774.

It can be written as a sum of positive squares in 4 ways, for example, as 157609 + 320356 = 397^2 + 566^2 .

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 477965 - 2¹⁴ = 461581 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (72435).

2⁴⁷⁷⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

477965 is a deficient number, since it is larger than the sum of its proper divisors (101515).

477965 is a wasteful number, since it uses less digits than its factorization.

477965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991.

The product of its digits is 52920, while the sum is 38.

The square root of 477965 is about 691.3501283720. The cubic root of 477965 is about 78.1865467009.

Subtracting 477965 from its reverse (569774), we obtain a square (91809 = 303²).

The spelling of 477965 in words is "four hundred seventy-seven thousand, nine hundred sixty-five".