961641 has 12 divisors (see below), whose sum is σ = 1413360. Its totient is φ = 629880.

The previous prime is 961637. The next prime is 961643. The reversal of 961641 is 146169.

961641 is a `hidden beast` number, since 9 + 616 + 41 = 666.

It is not a de Polignac number, because 961641 - 2² = 961637 is a prime.

961641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (961643) 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 11 ways as a sum of consecutive naturals, for example, 375 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (117780).

2⁹⁶¹⁶⁴¹ is an apocalyptic number.

It is an amenable number.

961641 is a deficient number, since it is larger than the sum of its proper divisors (451719).

961641 is a wasteful number, since it uses less digits than its factorization.

961641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1873 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 961641 is about 980.6329588587. The cubic root of 961641 is about 98.7046600597.

The spelling of 961641 in words is "nine hundred sixty-one thousand, six hundred forty-one".