872000901 has 12 divisors (see below), whose sum is σ = 1264786380. Its totient is φ = 578920320.

The previous prime is 872000851. The next prime is 872000929. The reversal of 872000901 is 109000278.

It can be written as a sum of positive squares in 2 ways, for example, as 643839876 + 228161025 = 25374^2 + 15105^2 .

It is not a de Polignac number, because 872000901 - 2¹⁸ = 871738757 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872000951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198846 + ... + 203183.

It is an arithmetic number, because the mean of its divisors is an integer number (105398865).

Almost surely, 2^872000901 is an apocalyptic number.

It is an amenable number.

872000901 is a deficient number, since it is larger than the sum of its proper divisors (392785479).

872000901 is a wasteful number, since it uses less digits than its factorization.

872000901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402276 (or 402273 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 872000901 is about 29529.6613763179. The cubic root of 872000901 is about 955.3715652549.

The spelling of 872000901 in words is "eight hundred seventy-two million, nine hundred one", and thus it is an aban number.