947232 has 144 divisors (see below), whose sum is σ = 3302208. Its totient is φ = 253440.

The previous prime is 947203. The next prime is 947239. The reversal of 947232 is 232749.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (3024) is a multiple of the sum of its prime factors (63).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 947196 and 947205.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 947232.

It is not an unprimeable number, because it can be changed into a prime (947239) by changing a digit.

947232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41173 + ... + 41195.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2⁹⁴⁷²³² is an apocalyptic number.

947232 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 947232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104).

947232 is an abundant number, since it is smaller than the sum of its proper divisors (2354976).

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

947232 is a wasteful number, since it uses less digits than its factorization.

947232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 52 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 947232 is about 973.2584446076. The cubic root of 947232 is about 98.2091880298.

The spelling of 947232 in words is "nine hundred forty-seven thousand, two hundred thirty-two".