88993 has 2 divisors, whose sum is σ = 88994. Its totient is φ = 88992.

The previous prime is 88969. The next prime is 88997. The reversal of 88993 is 39988.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88209 + 784 = 297^2 + 28^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-88993 is a prime.

It is not a weakly prime, because it can be changed into another prime (88997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44496 + 44497.

It is an arithmetic number, because the mean of its divisors is an integer number (44497).

2⁸⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

88993 is a deficient number, since it is larger than the sum of its proper divisors (1).

88993 is an equidigital number, since it uses as much as digits as its factorization.

88993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 37.

The square root of 88993 is about 298.3169455462. The cubic root of 88993 is about 44.6462803927.

Subtracting from 88993 its product of digits (15552), we obtain a square (73441 = 271²).

It can be divided in two parts, 88 and 993, that added together give a triangular number (1081 = T₄₆).

The spelling of 88993 in words is "eighty-eight thousand, nine hundred ninety-three".