189876961 has 8 divisors (see below), whose sum is σ = 203306760. Its totient is φ = 176698368.

The previous prime is 189876959. The next prime is 189876971. The reversal of 189876961 is 169678981.

It can be written as a sum of positive squares in 4 ways, for example, as 42497361 + 147379600 = 6519^2 + 12140^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 189876961 - 2¹ = 189876959 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (189876901) 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 7 ways as a sum of consecutive naturals, for example, 61236 + ... + 64261.

It is an arithmetic number, because the mean of its divisors is an integer number (25413345).

Almost surely, 2^189876961 is an apocalyptic number.

It is an amenable number.

189876961 is a deficient number, since it is larger than the sum of its proper divisors (13429799).

189876961 is a wasteful number, since it uses less digits than its factorization.

189876961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125603.

The product of its digits is 1306368, while the sum is 55.

The square root of 189876961 is about 13779.5849356938. The cubic root of 189876961 is about 574.7655866160.

It can be divided in two parts, 189 and 876961, that added together give a triangular number (877150 = T₁₃₂₄).

The spelling of 189876961 in words is "one hundred eighty-nine million, eight hundred seventy-six thousand, nine hundred sixty-one".