189961 has 2 divisors, whose sum is σ = 189962. Its totient is φ = 189960.

The previous prime is 189949. The next prime is 189967. The reversal of 189961 is 169981.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175561 + 14400 = 419^2 + 120^2 .

It is a cyclic number.

It is not a de Polignac number, because 189961 - 2⁵ = 189929 is a prime.

It is not a weakly prime, because it can be changed into another prime (189967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 94980 + 94981.

It is an arithmetic number, because the mean of its divisors is an integer number (94981).

2¹⁸⁹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

189961 is a deficient number, since it is larger than the sum of its proper divisors (1).

189961 is an equidigital number, since it uses as much as digits as its factorization.

189961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 34.

The square root of 189961 is about 435.8451559901. The cubic root of 189961 is about 57.4850370644.

The spelling of 189961 in words is "one hundred eighty-nine thousand, nine hundred sixty-one".