189996961 has 32 divisors (see below), whose sum is σ = 248428800. Its totient is φ = 143942400.

The previous prime is 189996959. The next prime is 189996971. The reversal of 189996961 is 169699981.

It is not a de Polignac number, because 189996961 - 2¹ = 189996959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 189996896 and 189996905.

It is not an unprimeable number, because it can be changed into a prime (189996901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138921 + ... + 140281.

It is an arithmetic number, because the mean of its divisors is an integer number (7763400).

Almost surely, 2^189996961 is an apocalyptic number.

189996961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

189996961 is a deficient number, since it is larger than the sum of its proper divisors (58431839).

189996961 is a wasteful number, since it uses less digits than its factorization.

189996961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1416 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 58.

The square root of 189996961 is about 13783.9385155332. The cubic root of 189996961 is about 574.8866428083.

The spelling of 189996961 in words is "one hundred eighty-nine million, nine hundred ninety-six thousand, nine hundred sixty-one".