108693 has 12 divisors (see below), whose sum is σ = 169260. Its totient is φ = 66816.

The previous prime is 108677. The next prime is 108707. The reversal of 108693 is 396801.

It can be written as a sum of positive squares in 2 ways, for example, as 7569 + 101124 = 87^2 + 318^2 .

It is not a de Polignac number, because 108693 - 2⁴ = 108677 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108643) 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, 348 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (14105).

2¹⁰⁸⁶⁹³ is an apocalyptic number.

108693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

108693 is a deficient number, since it is larger than the sum of its proper divisors (60567).

108693 is a wasteful number, since it uses less digits than its factorization.

108693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 108693 is about 329.6862144525. The cubic root of 108693 is about 47.7236727031.

The spelling of 108693 in words is "one hundred eight thousand, six hundred ninety-three".