961752 has 32 divisors (see below), whose sum is σ = 2623680. Its totient is φ = 291360.

The previous prime is 961747. The next prime is 961757. The reversal of 961752 is 257169.

It is an interprime number because it is at equal distance from previous prime (961747) and next prime (961757).

It is a plaindrome in base 13.

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 961752.

It is not an unprimeable number, because it can be changed into a prime (961757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1558 + ... + 2085.

It is an arithmetic number, because the mean of its divisors is an integer number (81990).

2⁹⁶¹⁷⁵² is an apocalyptic number.

It is an amenable number.

961752 is an abundant number, since it is smaller than the sum of its proper divisors (1661928).

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

961752 is a wasteful number, since it uses less digits than its factorization.

961752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3659 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 961752 is about 980.6895533246. The cubic root of 961752 is about 98.7084576639.

It can be divided in two parts, 9617 and 52, that added together give a palindrome (9669).

The spelling of 961752 in words is "nine hundred sixty-one thousand, seven hundred fifty-two".