891271953 has 48 divisors (see below), whose sum is σ = 1521584064. Its totient is φ = 495607680.

The previous prime is 891271949. The next prime is 891271961. The reversal of 891271953 is 359172198.

It is not a de Polignac number, because 891271953 - 2² = 891271949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 891271899 and 891271908.

It is not an unprimeable number, because it can be changed into a prime (891271933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220650 + ... + 224652.

It is an arithmetic number, because the mean of its divisors is an integer number (31699668).

Almost surely, 2^891271953 is an apocalyptic number.

It is an amenable number.

891271953 is a deficient number, since it is larger than the sum of its proper divisors (630312111).

891271953 is a wasteful number, since it uses less digits than its factorization.

891271953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206 (or 4203 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 891271953 is about 29854.1781498001. The cubic root of 891271953 is about 962.3581901155.

The spelling of 891271953 in words is "eight hundred ninety-one million, two hundred seventy-one thousand, nine hundred fifty-three".