872734301 has 2 divisors, whose sum is σ = 872734302. Its totient is φ = 872734300.

The previous prime is 872734249. The next prime is 872734307. The reversal of 872734301 is 103437278.

872734301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 857904100 + 14830201 = 29290^2 + 3851^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-872734301 is a prime.

It is a super-3 number, since 3×872734301³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (872734307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436367150 + 436367151.

It is an arithmetic number, because the mean of its divisors is an integer number (436367151).

Almost surely, 2^872734301 is an apocalyptic number.

It is an amenable number.

872734301 is a deficient number, since it is larger than the sum of its proper divisors (1).

872734301 is an equidigital number, since it uses as much as digits as its factorization.

872734301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 872734301 is about 29542.0767888786. The cubic root of 872734301 is about 955.6393299491.

The spelling of 872734301 in words is "eight hundred seventy-two million, seven hundred thirty-four thousand, three hundred one".