873261601 has 9 divisors (see below), whose sum is σ = 905300851. Its totient is φ = 842321704.

The previous prime is 873261577. The next prime is 873261607. The reversal of 873261601 is 106162378.

The square root of 873261601 is 29551.

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

It can be written as a sum of positive squares in only one way, i.e., 457917201 + 415344400 = 21399^2 + 20380^2 .

It is not a de Polignac number, because 873261601 - 2²⁹ = 336390689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (873261607) 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, 856470 + ... + 857488.

Almost surely, 2^873261601 is an apocalyptic number.

873261601 is the 29551-st square number.

873261601 is the 14776-th centered octagonal number.

It is an amenable number.

873261601 is a deficient number, since it is larger than the sum of its proper divisors (32039250).

873261601 is an frugal number, since it uses more digits than its factorization.

873261601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The cubic root of 873261601 is about 955.8317547479.

The spelling of 873261601 in words is "eight hundred seventy-three million, two hundred sixty-one thousand, six hundred one".