4705137 has 12 divisors (see below), whose sum is σ = 6820164. Its totient is φ = 3125760.

The previous prime is 4705117. The next prime is 4705139. The reversal of 4705137 is 7315074.

It can be written as a sum of positive squares in 2 ways, for example, as 1962801 + 2742336 = 1401^2 + 1656^2 .

It is not a de Polignac number, because 4705137 - 2¹⁸ = 4442993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4705137.

It is not an unprimeable number, because it can be changed into a prime (4705139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2437 + ... + 3917.

It is an arithmetic number, because the mean of its divisors is an integer number (568347).

Almost surely, 2^4705137 is an apocalyptic number.

It is an amenable number.

4705137 is a deficient number, since it is larger than the sum of its proper divisors (2115027).

4705137 is a wasteful number, since it uses less digits than its factorization.

4705137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1837 counting only the distinct ones).

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

The square root of 4705137 is about 2169.1327760190. The cubic root of 4705137 is about 167.5678732876.

The spelling of 4705137 in words is "four million, seven hundred five thousand, one hundred thirty-seven".