953952 has 48 divisors (see below), whose sum is σ = 2640960. Its totient is φ = 300672.

The previous prime is 953941. The next prime is 953969. The reversal of 953952 is 259359.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 953952.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1563 + ... + 2085.

It is an arithmetic number, because the mean of its divisors is an integer number (55020).

2⁹⁵³⁹⁵² 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 953952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320480).

953952 is an abundant number, since it is smaller than the sum of its proper divisors (1687008).

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

953952 is a wasteful number, since it uses less digits than its factorization.

953952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 547 counting only the distinct ones).

The product of its digits is 12150, while the sum is 33.

The square root of 953952 is about 976.7046636522. The cubic root of 953952 is about 98.4408845901.

It can be divided in two parts, 9539 and 52, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 953952 in words is "nine hundred fifty-three thousand, nine hundred fifty-two".