947952 has 60 divisors (see below), whose sum is σ = 2756520. Its totient is φ = 303744.

The previous prime is 947927. The next prime is 947959. The reversal of 947952 is 259749.

It is a super-2 number, since 2×947952² = 1797225988608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (22680) is a multiple of the sum of its prime factors (270).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 947952.

It is not an unprimeable number, because it can be changed into a prime (947959) by changing a digit.

947952 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 11 ways as a sum of consecutive naturals, for example, 4063 + ... + 4289.

It is an arithmetic number, because the mean of its divisors is an integer number (45942).

2⁹⁴⁷⁹⁵² 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 947952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378260).

947952 is an abundant number, since it is smaller than the sum of its proper divisors (1808568).

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

947952 is a wasteful number, since it uses less digits than its factorization.

947952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 261 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 947952 is about 973.6282658181. The cubic root of 947952 is about 98.2340649719.

It can be divided in two parts, 9 and 47952, that added together give a square (47961 = 219²).

The spelling of 947952 in words is "nine hundred forty-seven thousand, nine hundred fifty-two".