965952 has 112 divisors (see below), whose sum is σ = 3129280. Its totient is φ = 290304.

The previous prime is 965927. The next prime is 965953. The reversal of 965952 is 259569.

965952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965953) by changing a digit.

965952 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 15 ways as a sum of consecutive naturals, for example, 22443 + ... + 22485.

It is an arithmetic number, because the mean of its divisors is an integer number (27940).

965952 is a Friedman number, since it can be written as ((9+2)^5-59)*6, using all its digits and the basic arithmetic operations.

2⁹⁶⁵⁹⁵² 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 965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564640).

965952 is an abundant number, since it is smaller than the sum of its proper divisors (2163328).

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

965952 is a wasteful number, since it uses less digits than its factorization.

965952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 61 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 965952 is about 982.8285710133. The cubic root of 965952 is about 98.8519366114.

The spelling of 965952 in words is "nine hundred sixty-five thousand, nine hundred fifty-two".