962752 has 42 divisors (see below), whose sum is σ = 2229612. Its totient is φ = 411264.

The previous prime is 962747. The next prime is 962779. The reversal of 962752 is 257269.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2983 + ... + 3289.

It is an arithmetic number, because the mean of its divisors is an integer number (53086).

2⁹⁶²⁷⁵² 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 962752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114806).

962752 is an abundant number, since it is smaller than the sum of its proper divisors (1266860).

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

962752 is a wasteful number, since it uses less digits than its factorization.

962752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 962752 is about 981.1992662044. The cubic root of 962752 is about 98.7426571478.

The spelling of 962752 in words is "nine hundred sixty-two thousand, seven hundred fifty-two".