98001 has 6 divisors (see below), whose sum is σ = 141570. Its totient is φ = 65328.

The previous prime is 97987. The next prime is 98009. The reversal of 98001 is 10089.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 40401 = 240^2 + 201^2 .

It is not a de Polignac number, because 98001 - 2¹³ = 89809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (98009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5436 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (23595).

2⁹⁸⁰⁰¹ is an apocalyptic number.

It is an amenable number.

98001 is a deficient number, since it is larger than the sum of its proper divisors (43569).

98001 is a wasteful number, since it uses less digits than its factorization.

98001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10895 (or 10892 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 98001 is about 313.0511140373. The cubic root of 98001 is about 46.1045197376.

It can be divided in two parts, 9800 and 1, that added together give a square (9801 = 99²).

The spelling of 98001 in words is "ninety-eight thousand, one".