9808101 has 32 divisors (see below), whose sum is σ = 15206400. Its totient is φ = 6243120.

The previous prime is 9808093. The next prime is 9808109. The reversal of 9808101 is 1018089.

9808101 = 206² + 207² + ... + 336².

9808101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9808093) and next prime (9808109).

It is not a de Polignac number, because 9808101 - 2³ = 9808093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

9808101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9808109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74806 + ... + 74936.

It is an arithmetic number, because the mean of its divisors is an integer number (475200).

Almost surely, 2^9808101 is an apocalyptic number.

It is an amenable number.

9808101 is a deficient number, since it is larger than the sum of its proper divisors (5398299).

9808101 is a wasteful number, since it uses less digits than its factorization.

9808101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 9808101 is about 3131.7887859816. The cubic root of 9808101 is about 214.0564456454.

The spelling of 9808101 in words is "nine million, eight hundred eight thousand, one hundred one".