947988 has 36 divisors (see below), whose sum is σ = 2538900. Its totient is φ = 297216.

The previous prime is 947987. The next prime is 948007. The reversal of 947988 is 889749.

It can be written as a sum of positive squares in 2 ways, for example, as 535824 + 412164 = 732^2 + 642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947987) 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 11 ways as a sum of consecutive naturals, for example, 163 + ... + 1386.

It is an arithmetic number, because the mean of its divisors is an integer number (70525).

2⁹⁴⁷⁹⁸⁸ 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 947988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269450).

947988 is an abundant number, since it is smaller than the sum of its proper divisors (1590912).

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

947988 is a wasteful number, since it uses less digits than its factorization.

947988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1571 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 947988 is about 973.6467531913. The cubic root of 947988 is about 98.2353084883.

The spelling of 947988 in words is "nine hundred forty-seven thousand, nine hundred eighty-eight".