752833 has 2 divisors, whose sum is σ = 752834. Its totient is φ = 752832.

The previous prime is 752831. The next prime is 752861. The reversal of 752833 is 338257.

It is an a-pointer prime, because the next prime (752861) can be obtained adding 752833 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 332929 = 648^2 + 577^2 .

It is a cyclic number.

It is not a de Polignac number, because 752833 - 2¹ = 752831 is a prime.

Together with 752831, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (752831) 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 as a sum of consecutive naturals, namely, 376416 + 376417.

It is an arithmetic number, because the mean of its divisors is an integer number (376417).

2⁷⁵²⁸³³ is an apocalyptic number.

It is an amenable number.

752833 is a deficient number, since it is larger than the sum of its proper divisors (1).

752833 is an equidigital number, since it uses as much as digits as its factorization.

752833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 28.

The square root of 752833 is about 867.6594954243. The cubic root of 752833 is about 90.9702837400.

The spelling of 752833 in words is "seven hundred fifty-two thousand, eight hundred thirty-three".