9972951 has 8 divisors (see below), whose sum is σ = 13515504. Its totient is φ = 6539520.

The previous prime is 9972913. The next prime is 9972973. The reversal of 9972951 is 1592799.

9972951 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9972951 - 2⁹ = 9972439 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27066 + ... + 27431.

It is an arithmetic number, because the mean of its divisors is an integer number (1689438).

Almost surely, 2^9972951 is an apocalyptic number.

9972951 is a deficient number, since it is larger than the sum of its proper divisors (3542553).

9972951 is a wasteful number, since it uses less digits than its factorization.

9972951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54561.

The product of its digits is 51030, while the sum is 42.

The square root of 9972951 is about 3157.9979417346. The cubic root of 9972951 is about 215.2490425832.

The spelling of 9972951 in words is "nine million, nine hundred seventy-two thousand, nine hundred fifty-one".