475797 has 16 divisors (see below), whose sum is σ = 734720. Its totient is φ = 268272.

The previous prime is 475793. The next prime is 475807. The reversal of 475797 is 797574.

475797 = 154² + 155² + ... + 171².

It is not a de Polignac number, because 475797 - 2² = 475793 is a prime.

It is a d-powerful number, because it can be written as 4⁹ + 7³ + 7⁵ + 5⁷ + 9³ + 7⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2838 + ... + 3000.

It is an arithmetic number, because the mean of its divisors is an integer number (45920).

2⁴⁷⁵⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

475797 is a deficient number, since it is larger than the sum of its proper divisors (258923).

475797 is a wasteful number, since it uses less digits than its factorization.

475797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its digits is 61740, while the sum is 39.

The square root of 475797 is about 689.7803998375. The cubic root of 475797 is about 78.0681521379.

It can be divided in two parts, 47579 and 7, that added together give a triangular number (47586 = T₃₀₈).

The spelling of 475797 in words is "four hundred seventy-five thousand, seven hundred ninety-seven".