4736133 has 12 divisors (see below), whose sum is σ = 6970860. Its totient is φ = 3097536.

The previous prime is 4736131. The next prime is 4736153. The reversal of 4736133 is 3316374.

It is a happy number.

4736133 is a `hidden beast` number, since 47 + 3 + 613 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2169729 + 2566404 = 1473^2 + 1602^2 .

It is not a de Polignac number, because 4736133 - 2¹ = 4736131 is a prime.

It is a d-powerful number, because it can be written as 4¹¹ + 7³ + 3⁷ + 6⁴ + 1 + 3⁸ + 3¹² .

4736133 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4736097 and 4736106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4736131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4488 + ... + 5441.

It is an arithmetic number, because the mean of its divisors is an integer number (580905).

Almost surely, 2^4736133 is an apocalyptic number.

It is an amenable number.

4736133 is a deficient number, since it is larger than the sum of its proper divisors (2234727).

4736133 is a wasteful number, since it uses less digits than its factorization.

4736133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9988 (or 9985 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 4736133 is about 2176.2658385409. The cubic root of 4736133 is about 167.9350301499.

The spelling of 4736133 in words is "four million, seven hundred thirty-six thousand, one hundred thirty-three".