86961 has 16 divisors (see below), whose sum is σ = 137088. Its totient is φ = 48000.

The previous prime is 86959. The next prime is 86969. The reversal of 86961 is 16968.

It is not a de Polignac number, because 86961 - 2¹ = 86959 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86961.

It is not an unprimeable number, because it can be changed into a prime (86969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2⁸⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

86961 is a deficient number, since it is larger than the sum of its proper divisors (50127).

86961 is a wasteful number, since it uses less digits than its factorization.

86961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152.

The product of its digits is 2592, while the sum is 30.

The square root of 86961 is about 294.8915054728. The cubic root of 86961 is about 44.3038541217.

The spelling of 86961 in words is "eighty-six thousand, nine hundred sixty-one".