88029 has 6 divisors (see below), whose sum is σ = 127166. Its totient is φ = 58680.

The previous prime is 88019. The next prime is 88037. The reversal of 88029 is 92088.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 15129 = 270^2 + 123^2 .

It is not a de Polignac number, because 88029 - 2⁹ = 87517 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 87993 and 88011.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88029.

It is not an unprimeable number, because it can be changed into a prime (88019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4882 + ... + 4899.

2⁸⁸⁰²⁹ is an apocalyptic number.

It is an amenable number.

88029 is a deficient number, since it is larger than the sum of its proper divisors (39137).

88029 is a wasteful number, since it uses less digits than its factorization.

88029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9787 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 88029 is about 296.6968149475. The cubic root of 88029 is about 44.4844872916.

It can be divided in two parts, 880 and 29, that added together give a palindrome (909).

The spelling of 88029 in words is "eighty-eight thousand, twenty-nine".