475137 has 24 divisors (see below), whose sum is σ = 768768. Its totient is φ = 280800.

The previous prime is 475109. The next prime is 475141. The reversal of 475137 is 731574.

It is not a de Polignac number, because 475137 - 2⁶ = 475073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 475137.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 475137.

It is not an unprimeable number, because it can be changed into a prime (475147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3562 + ... + 3692.

It is an arithmetic number, because the mean of its divisors is an integer number (32032).

It is a Proth number, since it is equal to 29 ⋅ 2¹⁴ + 1 and 29 < 2¹⁴.

2⁴⁷⁵¹³⁷ is an apocalyptic number.

It is an amenable number.

475137 is a deficient number, since it is larger than the sum of its proper divisors (293631).

475137 is a wasteful number, since it uses less digits than its factorization.

475137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 178 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 475137 is about 689.3018206852. The cubic root of 475137 is about 78.0320381207.

It can be divided in two parts, 47 and 5137, that added together give a square (5184 = 72²).

The spelling of 475137 in words is "four hundred seventy-five thousand, one hundred thirty-seven".