475737 has 8 divisors (see below), whose sum is σ = 637536. Its totient is φ = 315552.

The previous prime is 475729. The next prime is 475751. The reversal of 475737 is 737574.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 475737 - 2³ = 475729 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

475737 is a lucky number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 475698 and 475707.

It is not an unprimeable number, because it can be changed into a prime (475777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 813 + ... + 1269.

It is an arithmetic number, because the mean of its divisors is an integer number (79692).

2⁴⁷⁵⁷³⁷ is an apocalyptic number.

It is an amenable number.

475737 is a deficient number, since it is larger than the sum of its proper divisors (161799).

475737 is a wasteful number, since it uses less digits than its factorization.

475737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807.

The product of its digits is 20580, while the sum is 33.

The square root of 475737 is about 689.7369063636. The cubic root of 475737 is about 78.0648704260.

The spelling of 475737 in words is "four hundred seventy-five thousand, seven hundred thirty-seven".