952952 has 96 divisors (see below), whose sum is σ = 2585520. Its totient is φ = 322560.

The previous prime is 952943. The next prime is 952957. The reversal of 952952 is 259259.

952952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 9² + 5⁶ + 9⁶ + 2¹⁶ + 5⁷ + 2¹⁸ .

Its product of digits (8100) is a multiple of the sum of its prime divisors (50).

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 952952.

It is not an unprimeable number, because it can be changed into a prime (952957) by changing a digit.

952952 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, 56048 + ... + 56064.

2⁹⁵²⁹⁵² 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 952952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292760).

952952 is an abundant number, since it is smaller than the sum of its proper divisors (1632568).

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

952952 is a wasteful number, since it uses less digits than its factorization.

952952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 50 counting only the distinct ones).

The product of its digits is 8100, while the sum is 32.

The square root of 952952 is about 976.1926039466. The cubic root of 952952 is about 98.4064749964.

The spelling of 952952 in words is "nine hundred fifty-two thousand, nine hundred fifty-two".