9971775 has 96 divisors (see below), whose sum is σ = 21427200. Its totient is φ = 4492800.

The previous prime is 9971761. The next prime is 9971779. The reversal of 9971775 is 5771799.

It is not a de Polignac number, because 9971775 - 2⁶ = 9971711 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 Harshad number since it is a multiple of its sum of digits (45).

9971775 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 9971775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9971779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126186 + ... + 126264.

It is an arithmetic number, because the mean of its divisors is an integer number (223200).

Almost surely, 2^9971775 is an apocalyptic number.

9971775 is an abundant number, since it is smaller than the sum of its proper divisors (11455425).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9971775 is a wasteful number, since it uses less digits than its factorization.

9971775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

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

The square root of 9971775 is about 3157.8117423304. The cubic root of 9971775 is about 215.2405816030.

It can be divided in two parts, 997 and 1775, that added together give a palindrome (2772).

The spelling of 9971775 in words is "nine million, nine hundred seventy-one thousand, seven hundred seventy-five".