88929 has 12 divisors (see below), whose sum is σ = 132132. Its totient is φ = 57600.

The previous prime is 88919. The next prime is 88937. The reversal of 88929 is 92988.

It can be written as a sum of positive squares in 2 ways, for example, as 31329 + 57600 = 177^2 + 240^2 .

It is not a de Polignac number, because 88929 - 2⁵ = 88897 is a prime.

Its product of digits (10368) is a multiple of the sum of its prime factors (288).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 88893 and 88902.

It is not an unprimeable number, because it can be changed into a prime (88919) 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, 249 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (11011).

2⁸⁸⁹²⁹ is an apocalyptic number.

It is an amenable number.

88929 is a deficient number, since it is larger than the sum of its proper divisors (43203).

88929 is a wasteful number, since it uses less digits than its factorization.

88929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 285 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 88929 is about 298.2096577913. The cubic root of 88929 is about 44.6355752542.

The spelling of 88929 in words is "eighty-eight thousand, nine hundred twenty-nine".