961758 has 48 divisors (see below), whose sum is σ = 2527200. Its totient is φ = 258048.

The previous prime is 961757. The next prime is 961769. The reversal of 961758 is 857169.

It is a congruent number.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1918 + ... + 2366.

It is an arithmetic number, because the mean of its divisors is an integer number (52650).

2⁹⁶¹⁷⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263600).

961758 is an abundant number, since it is smaller than the sum of its proper divisors (1565442).

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

961758 is a wasteful number, since it uses less digits than its factorization.

961758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 478 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 961758 is about 980.6926123919. The cubic root of 961758 is about 98.7086629315.

The spelling of 961758 in words is "nine hundred sixty-one thousand, seven hundred fifty-eight".