88173 has 12 divisors (see below), whose sum is σ = 129948. Its totient is φ = 57600.

The previous prime is 88169. The next prime is 88177. The reversal of 88173 is 37188.

It is an interprime number because it is at equal distance from previous prime (88169) and next prime (88177).

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 21609 = 258^2 + 147^2 .

It is not a de Polignac number, because 88173 - 2² = 88169 is a prime.

It is a Curzon number.

88173 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88177) 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, 823 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (10829).

2⁸⁸¹⁷³ is an apocalyptic number.

It is an amenable number.

88173 is a deficient number, since it is larger than the sum of its proper divisors (41775).

88173 is a wasteful number, since it uses less digits than its factorization.

88173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 201 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 88173 is about 296.9393877545. The cubic root of 88173 is about 44.5087303496.

The spelling of 88173 in words is "eighty-eight thousand, one hundred seventy-three".