961755 has 16 divisors (see below), whose sum is σ = 1557024. Its totient is φ = 506880.

The previous prime is 961747. The next prime is 961757. The reversal of 961755 is 557169.

It is not a de Polignac number, because 961755 - 2³ = 961747 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 1125 + ... + 1785.

It is an arithmetic number, because the mean of its divisors is an integer number (97314).

2⁹⁶¹⁷⁵⁵ is an apocalyptic number.

961755 is a deficient number, since it is larger than the sum of its proper divisors (595269).

961755 is a wasteful number, since it uses less digits than its factorization.

961755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766.

The product of its digits is 9450, while the sum is 33.

The square root of 961755 is about 980.6910828594. The cubic root of 961755 is about 98.7085602978.

The spelling of 961755 in words is "nine hundred sixty-one thousand, seven hundred fifty-five".