5735301 has 32 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 3091200.

The previous prime is 5735291. The next prime is 5735357. The reversal of 5735301 is 1035375.

It is not a de Polignac number, because 5735301 - 2¹⁰ = 5734277 is a prime.

5735301 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5735201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12211 + ... + 12671.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 2^5735301 is an apocalyptic number.

5735301 is the 1383-rd octagonal number.

It is an amenable number.

5735301 is a deficient number, since it is larger than the sum of its proper divisors (3578619).

5735301 is a wasteful number, since it uses less digits than its factorization.

5735301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517.

The product of its (nonzero) digits is 1575, while the sum is 24.

The square root of 5735301 is about 2394.8488470048. The cubic root of 5735301 is about 178.9996046723. Note that the first 3 decimals are identical.

The spelling of 5735301 in words is "five million, seven hundred thirty-five thousand, three hundred one".