9951000 has 128 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 2544000.

The previous prime is 9950989. The next prime is 9951013. The reversal of 9951000 is 1599.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92947 + ... + 93053.

It is an arithmetic number, because the mean of its divisors is an integer number (252720).

Almost surely, 2^9951000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9951000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

9951000 is an abundant number, since it is smaller than the sum of its proper divisors (22397160).

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

9951000 is a wasteful number, since it uses less digits than its factorization.

9951000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 24.

The square root of 9951000 is about 3154.5205657913. The cubic root of 9951000 is about 215.0910016788.

Adding to 9951000 its reverse (1599), we get a palindrome (9952599).

The spelling of 9951000 in words is "nine million, nine hundred fifty-one thousand".