99753 has 8 divisors (see below), whose sum is σ = 136416. Its totient is φ = 64800.

The previous prime is 99733. The next prime is 99761. The reversal of 99753 is 35799.

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

It is not a de Polignac number, because 99753 - 2⁵ = 99721 is a prime.

It is a super-2 number, since 2×99753² = 19901322018, which contains 22 as substring.

99753 is a lucky number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99713) 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, 283 + ... + 528.

It is an arithmetic number, because the mean of its divisors is an integer number (17052).

2⁹⁹⁷⁵³ is an apocalyptic number.

It is an amenable number.

99753 is a deficient number, since it is larger than the sum of its proper divisors (36663).

99753 is a wasteful number, since it uses less digits than its factorization.

99753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855.

The product of its digits is 8505, while the sum is 33.

The square root of 99753 is about 315.8369832683. The cubic root of 99753 is about 46.3776410805.

It can be divided in two parts, 99 and 753, that multiplied together give a palindrome (74547).

The spelling of 99753 in words is "ninety-nine thousand, seven hundred fifty-three".