9992952 has 48 divisors (see below), whose sum is σ = 27649440. Its totient is φ = 3259008.

The previous prime is 9992933. The next prime is 9992963. The reversal of 9992952 is 2592999.

It is a junction number, because it is equal to n+sod(n) for n = 9992898 and 9992907.

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 11 ways as a sum of consecutive naturals, for example, 1908 + ... + 4860.

It is an arithmetic number, because the mean of its divisors is an integer number (576030).

Almost surely, 2^9992952 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 9992952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13824720).

9992952 is an abundant number, since it is smaller than the sum of its proper divisors (17656488).

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

9992952 is a wasteful number, since it uses less digits than its factorization.

9992952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 3005 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The square root of 9992952 is about 3161.1630770968. The cubic root of 9992952 is about 215.3928422551.

The spelling of 9992952 in words is "nine million, nine hundred ninety-two thousand, nine hundred fifty-two".