961936 has 20 divisors (see below), whose sum is σ = 1897200. Its totient is φ = 472352.

The previous prime is 961927. The next prime is 961937. The reversal of 961936 is 639169.

961936 is nontrivially palindromic in base 15.

961936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (961937) by changing a digit.

961936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 435 + ... + 1453.

It is an arithmetic number, because the mean of its divisors is an integer number (94860).

2⁹⁶¹⁹³⁶ is an apocalyptic number.

It is an amenable number.

961936 is a deficient number, since it is larger than the sum of its proper divisors (935264).

961936 is a wasteful number, since it uses less digits than its factorization.

961936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1080 counting only the distinct ones).

The product of its digits is 8748, while the sum is 34.

The square root of 961936 is about 980.7833603809. The cubic root of 961936 is about 98.7147521480.

The spelling of 961936 in words is "nine hundred sixty-one thousand, nine hundred thirty-six".