88353 has 6 divisors (see below), whose sum is σ = 127634. Its totient is φ = 58896.

The previous prime is 88339. The next prime is 88379. The reversal of 88353 is 35388.

It can be written as a sum of positive squares in only one way, i.e., 88209 + 144 = 297^2 + 12^2 .

It is not a de Polignac number, because 88353 - 2⁴ = 88337 is a prime.

It is a d-powerful number, because it can be written as 8⁵ + 8⁵ + 3² + 5⁵ + 3⁹ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4900 + ... + 4917.

2⁸⁸³⁵³ is an apocalyptic number.

It is an amenable number.

88353 is a deficient number, since it is larger than the sum of its proper divisors (39281).

88353 is a wasteful number, since it uses less digits than its factorization.

88353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9823 (or 9820 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 88353 is about 297.2423253845. The cubic root of 88353 is about 44.5389970825.

It can be divided in two parts, 88 and 353, that added together give a square (441 = 21²).

The spelling of 88353 in words is "eighty-eight thousand, three hundred fifty-three".