752821 has 2 divisors, whose sum is σ = 752822. Its totient is φ = 752820.

The previous prime is 752819. The next prime is 752831. The reversal of 752821 is 128257.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 656100 + 96721 = 810^2 + 311^2 .

It is an emirp because it is prime and its reverse (128257) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 752821 - 2¹ = 752819 is a prime.

Together with 752819, it forms a pair of twin primes.

752821 is a lucky number.

It is a congruent number.

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 (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 376410 + 376411.

It is an arithmetic number, because the mean of its divisors is an integer number (376411).

2⁷⁵²⁸²¹ is an apocalyptic number.

It is an amenable number.

752821 is a deficient number, since it is larger than the sum of its proper divisors (1).

752821 is an equidigital number, since it uses as much as digits as its factorization.

752821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1120, while the sum is 25.

The square root of 752821 is about 867.6525802417. The cubic root of 752821 is about 90.9698003883.

It can be divided in two parts, 75 and 2821, that multiplied together give a triangular number (211575 = T₆₅₀).

The spelling of 752821 in words is "seven hundred fifty-two thousand, eight hundred twenty-one".