86733 has 12 divisors (see below), whose sum is σ = 131040. Its totient is φ = 55176.

The previous prime is 86729. The next prime is 86743. The reversal of 86733 is 33768.

It is a happy number.

It is not a de Polignac number, because 86733 - 2² = 86729 is a prime.

It is a super-2 number, since 2×86733² = 15045226578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86697 and 86706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3 + ... + 416.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2⁸⁶⁷³³ is an apocalyptic number.

It is an amenable number.

86733 is a deficient number, since it is larger than the sum of its proper divisors (44307).

86733 is a wasteful number, since it uses less digits than its factorization.

86733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 445 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 86733 is about 294.5046688934. The cubic root of 86733 is about 44.2651006587.

It can be divided in two parts, 867 and 33, that added together give a square (900 = 30²).

The spelling of 86733 in words is "eighty-six thousand, seven hundred thirty-three".