86973 has 8 divisors (see below), whose sum is σ = 118368. Its totient is φ = 56784.

The previous prime is 86969. The next prime is 86981. The reversal of 86973 is 37968.

It is a happy number.

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

It is not a de Polignac number, because 86973 - 2² = 86969 is a prime.

86973 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115 + ... + 432.

It is an arithmetic number, because the mean of its divisors is an integer number (14796).

2⁸⁶⁹⁷³ is an apocalyptic number.

It is an amenable number.

86973 is a deficient number, since it is larger than the sum of its proper divisors (31395).

86973 is a wasteful number, since it uses less digits than its factorization.

86973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603.

The product of its digits is 9072, while the sum is 33.

The square root of 86973 is about 294.9118512369. The cubic root of 86973 is about 44.3058919003.

The spelling of 86973 in words is "eighty-six thousand, nine hundred seventy-three".