88049 has 6 divisors (see below), whose sum is σ = 95526. Its totient is φ = 81120.

The previous prime is 88037. The next prime is 88069. The reversal of 88049 is 94088.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 87025 = 32^2 + 295^2 .

It is not a de Polignac number, because 88049 - 2⁸ = 87793 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (15921).

2⁸⁸⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

88049 is a deficient number, since it is larger than the sum of its proper divisors (7477).

88049 is a wasteful number, since it uses less digits than its factorization.

88049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 88049 is about 296.7305174733. The cubic root of 88049 is about 44.4878559632.

It can be divided in two parts, 880 and 49, that added together give a palindrome (929).

The spelling of 88049 in words is "eighty-eight thousand, forty-nine".