186961 has 8 divisors (see below), whose sum is σ = 199424. Its totient is φ = 174960.

The previous prime is 186959. The next prime is 187003. The reversal of 186961 is 169681.

186961 = 9² + 10² + ... + 82².

It is a happy number.

186961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a 7-Lehmer number, since φ(186961) divides (186961-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 186961 - 2¹ = 186959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (186161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1066 + ... + 1228.

It is an arithmetic number, because the mean of its divisors is an integer number (24928).

2¹⁸⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

186961 is a deficient number, since it is larger than the sum of its proper divisors (12463).

186961 is a wasteful number, since it uses less digits than its factorization.

186961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231.

The product of its digits is 2592, while the sum is 31.

The square root of 186961 is about 432.3898703716. The cubic root of 186961 is about 57.1808149591.

The spelling of 186961 in words is "one hundred eighty-six thousand, nine hundred sixty-one".