9705972 has 24 divisors (see below), whose sum is σ = 23032800. Its totient is φ = 3180256.

The previous prime is 9705961. The next prime is 9705973. The reversal of 9705972 is 2795079.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9705972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9705973) 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 7 ways as a sum of consecutive naturals, for example, 6147 + ... + 7562.

It is an arithmetic number, because the mean of its divisors is an integer number (959700).

Almost surely, 2^9705972 is an apocalyptic number.

It is an amenable number.

9705972 is an abundant number, since it is smaller than the sum of its proper divisors (13326828).

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

9705972 is a wasteful number, since it uses less digits than its factorization.

9705972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13775 (or 13773 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 9705972 is about 3115.4408997765. The cubic root of 9705972 is about 213.3108819689.

The spelling of 9705972 in words is "nine million, seven hundred five thousand, nine hundred seventy-two".