961952 has 24 divisors (see below), whose sum is σ = 1977696. Its totient is φ = 459712.

The previous prime is 961943. The next prime is 961957. The reversal of 961952 is 259169.

961952 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 (32).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961952.

It is not an unprimeable number, because it can be changed into a prime (961957) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83 + ... + 1389.

It is an arithmetic number, because the mean of its divisors is an integer number (82404).

2⁹⁶¹⁹⁵² is an apocalyptic number.

961952 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988848).

961952 is an abundant number, since it is smaller than the sum of its proper divisors (1015744).

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

961952 is a wasteful number, since it uses less digits than its factorization.

961952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1332 counting only the distinct ones).

The product of its digits is 4860, while the sum is 32.

The square root of 961952 is about 980.7915170922. The cubic root of 961952 is about 98.7152994565.

It can be divided in two parts, 96 and 1952, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 961952 in words is "nine hundred sixty-one thousand, nine hundred fifty-two".