88605 has 24 divisors (see below), whose sum is σ = 168480. Its totient is φ = 42720.

The previous prime is 88591. The next prime is 88607. The reversal of 88605 is 50688.

88605 = T₂₇ + T₂₈ + ... + T₈₁.

It is not a de Polignac number, because 88605 - 2⁴ = 88589 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 zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406 + ... + 584.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2⁸⁸⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

88605 is a deficient number, since it is larger than the sum of its proper divisors (79875).

88605 is a wasteful number, since it uses less digits than its factorization.

88605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 88605 is about 297.6659201185. The cubic root of 88605 is about 44.5813015252.

Adding to 88605 its product of nonzero digits (1920), we get a triangular number (90525 = T₄₂₅).

The spelling of 88605 in words is "eighty-eight thousand, six hundred five".