98007 has 16 divisors (see below), whose sum is σ = 161280. Its totient is φ = 51552.

The previous prime is 97987. The next prime is 98009. The reversal of 98007 is 70089.

98007 = 4² + 5² + ... + 66².

It is not a de Polignac number, because 98007 - 2⁶ = 97943 is a prime.

98007 is a lucky number.

It is a nialpdrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98007.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94 + ... + 452.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2⁹⁸⁰⁰⁷ is an apocalyptic number.

98007 is a deficient number, since it is larger than the sum of its proper divisors (63273).

98007 is a wasteful number, since it uses less digits than its factorization.

98007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 98007 is about 313.0606969902. The cubic root of 98007 is about 46.1054606174.

The spelling of 98007 in words is "ninety-eight thousand, seven".