872953461 has 12 divisors (see below), whose sum is σ = 1327297920. Its totient is φ = 551338920.

The previous prime is 872953453. The next prime is 872953463. The reversal of 872953461 is 164359278.

It is not a de Polignac number, because 872953461 - 2³ = 872953453 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872953463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2552325 + ... + 2552666.

It is an arithmetic number, because the mean of its divisors is an integer number (110608160).

Almost surely, 2^872953461 is an apocalyptic number.

It is an amenable number.

872953461 is a deficient number, since it is larger than the sum of its proper divisors (454344459).

872953461 is a wasteful number, since it uses less digits than its factorization.

872953461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105016 (or 5105013 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 872953461 is about 29545.7858416391. The cubic root of 872953461 is about 955.7193162583.

The spelling of 872953461 in words is "eight hundred seventy-two million, nine hundred fifty-three thousand, four hundred sixty-one".