5233761 has 48 divisors (see below), whose sum is σ = 8901120. Its totient is φ = 3032640.

The previous prime is 5233751. The next prime is 5233763. The reversal of 5233761 is 1673325.

It is a happy number.

It is not a de Polignac number, because 5233761 - 2¹⁰ = 5232737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a d-powerful number, because it can be written as 5⁹ + 2⁷ + 3⁸ + 3¹³ + 7 + 6⁸ + 1 .

Its product of digits (3780) is a multiple of the sum of its prime divisors (84).

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (5233763) 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 47 ways as a sum of consecutive naturals, for example, 141435 + ... + 141471.

It is an arithmetic number, because the mean of its divisors is an integer number (185440).

Almost surely, 2^5233761 is an apocalyptic number.

It is an amenable number.

5233761 is a deficient number, since it is larger than the sum of its proper divisors (3667359).

5233761 is a wasteful number, since it uses less digits than its factorization.

5233761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 5233761 is about 2287.7414626657. The cubic root of 5233761 is about 173.6219497153.

The spelling of 5233761 in words is "five million, two hundred thirty-three thousand, seven hundred sixty-one".