821325729 has 16 divisors (see below), whose sum is σ = 1257482240. Its totient is φ = 467102160.

The previous prime is 821325707. The next prime is 821325779. The reversal of 821325729 is 927523128.

It is not a de Polignac number, because 821325729 - 2⁷ = 821325601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (821325779) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88249 + ... + 97110.

It is an arithmetic number, because the mean of its divisors is an integer number (78592640).

Almost surely, 2^821325729 is an apocalyptic number.

It is an amenable number.

821325729 is a deficient number, since it is larger than the sum of its proper divisors (436156511).

821325729 is a wasteful number, since it uses less digits than its factorization.

821325729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185580.

The product of its digits is 60480, while the sum is 39.

The square root of 821325729 is about 28658.7810103640. The cubic root of 821325729 is about 936.4943091352.

The spelling of 821325729 in words is "eight hundred twenty-one million, three hundred twenty-five thousand, seven hundred twenty-nine".