9971577 has 24 divisors (see below), whose sum is σ = 17958720. Its totient is φ = 5179680.

The previous prime is 9971551. The next prime is 9971597. The reversal of 9971577 is 7751799.

9971577 is a `hidden beast` number, since 9 + 9 + 71 + 577 = 666.

9971577 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9971577 - 2⁶ = 9971513 is a prime.

9971577 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (9971597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6502 + ... + 7887.

It is an arithmetic number, because the mean of its divisors is an integer number (748280).

Almost surely, 2^9971577 is an apocalyptic number.

It is an amenable number.

9971577 is a deficient number, since it is larger than the sum of its proper divisors (7987143).

9971577 is a wasteful number, since it uses less digits than its factorization.

9971577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14413 (or 14410 counting only the distinct ones).

The product of its digits is 138915, while the sum is 45.

The square root of 9971577 is about 3157.7803913509. The cubic root of 9971577 is about 215.2391569848.

The spelling of 9971577 in words is "nine million, nine hundred seventy-one thousand, five hundred seventy-seven".