99801 has 12 divisors (see below), whose sum is σ = 155428. Its totient is φ = 61344.

The previous prime is 99793. The next prime is 99809. The reversal of 99801 is 10899.

99801 = 49² + 50² + ... + 74².

It is an interprime number because it is at equal distance from previous prime (99793) and next prime (99809).

It can be written as a sum of positive squares in 2 ways, for example, as 9801 + 90000 = 99^2 + 300^2 .

It is not a de Polignac number, because 99801 - 2³ = 99793 is a prime.

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (99809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310 + ... + 543.

2⁹⁹⁸⁰¹ is an apocalyptic number.

It is an amenable number.

99801 is a deficient number, since it is larger than the sum of its proper divisors (55627).

99801 is a wasteful number, since it uses less digits than its factorization.

99801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 99801 is about 315.9129626970. The cubic root of 99801 is about 46.3850786841.

It can be divided in two parts, 99 and 801, that added together give a square (900 = 30²).

The spelling of 99801 in words is "ninety-nine thousand, eight hundred one".