9967951 has 16 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 8023968.

The previous prime is 9967891. The next prime is 9967987. The reversal of 9967951 is 1597699.

It is a cyclic number.

It is not a de Polignac number, because 9967951 - 2⁷ = 9967823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9961951) 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 15 ways as a sum of consecutive naturals, for example, 19566 + ... + 20068.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 2^9967951 is an apocalyptic number.

9967951 is a deficient number, since it is larger than the sum of its proper divisors (2128049).

9967951 is a wasteful number, since it uses less digits than its factorization.

9967951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678.

The product of its digits is 153090, while the sum is 46.

The square root of 9967951 is about 3157.2062016916. The cubic root of 9967951 is about 215.2130644285.

The spelling of 9967951 in words is "nine million, nine hundred sixty-seven thousand, nine hundred fifty-one".