88753 has 8 divisors (see below), whose sum is σ = 104960. Its totient is φ = 73440.

The previous prime is 88747. The next prime is 88771. The reversal of 88753 is 35788.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 88753 - 2⁵ = 88721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (13120).

2⁸⁸⁷⁵³ is an apocalyptic number.

It is an amenable number.

88753 is a deficient number, since it is larger than the sum of its proper divisors (16207).

88753 is a wasteful number, since it uses less digits than its factorization.

88753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447.

The product of its digits is 6720, while the sum is 31.

The square root of 88753 is about 297.9144172409. The cubic root of 88753 is about 44.6061096150.

It can be divided in two parts, 88 and 753, that added together give a square (841 = 29²).

The spelling of 88753 in words is "eighty-eight thousand, seven hundred fifty-three".