961938 has 12 divisors (see below), whose sum is σ = 2084238. Its totient is φ = 320640.

The previous prime is 961937. The next prime is 961943. The reversal of 961938 is 839169.

961938 is a `hidden beast` number, since 9 + 619 + 38 = 666.

It can be written as a sum of positive squares in only one way, i.e., 762129 + 199809 = 873^2 + 447^2 .

It is a Curzon number.

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 961938.

It is not an unprimeable number, because it can be changed into a prime (961937) 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 5 ways as a sum of consecutive naturals, for example, 26703 + ... + 26738.

2⁹⁶¹⁹³⁸ is an apocalyptic number.

961938 is an abundant number, since it is smaller than the sum of its proper divisors (1122300).

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

961938 is a wasteful number, since it uses less digits than its factorization.

961938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53449 (or 53446 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 961938 is about 980.7843799735. The cubic root of 961938 is about 98.7148205619.

The spelling of 961938 in words is "nine hundred sixty-one thousand, nine hundred thirty-eight".