832264801 has 9 divisors (see below), whose sum is σ = 884622649. Its totient is φ = 782846464.

The previous prime is 832264799. The next prime is 832264817. The reversal of 832264801 is 108462238.

The square root of 832264801 is 28849.

It is a perfect power (a square), and thus also a powerful number.

832264801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 499567201 + 332697600 = 22351^2 + 18240^2 .

It is not a de Polignac number, because 832264801 - 2¹ = 832264799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (832264841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 489585 + ... + 491281.

Almost surely, 2^832264801 is an apocalyptic number.

832264801 is the 28849-th square number.

832264801 is the 14425-th centered octagonal number.

It is an amenable number.

832264801 is a deficient number, since it is larger than the sum of its proper divisors (52357848).

832264801 is an frugal number, since it uses more digits than its factorization.

832264801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The cubic root of 832264801 is about 940.6336458788.

The spelling of 832264801 in words is "eight hundred thirty-two million, two hundred sixty-four thousand, eight hundred one".