98441 has 10 divisors (see below), whose sum is σ = 117642. Its totient is φ = 82320.

The previous prime is 98429. The next prime is 98443. The reversal of 98441 is 14489.

It can be written as a sum of positive squares in only one way, i.e., 60025 + 38416 = 245^2 + 196^2 .

It is not a de Polignac number, because 98441 - 2^{6} = 98377 is a prime.

Its product of digits (1152) is a multiple of the sum of its prime divisors (48).

98441 is a modest number, since divided by 441 gives 98 as remainder.

It is a nialpdrome in base 10.

It is a self number, because there is not a number *n* which added to its sum of digits gives 98441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2381 + ... + 2421.

2^{98441} is an apocalyptic number.

It is an amenable number.

98441 is a deficient number, since it is larger than the sum of its proper divisors (19201).

98441 is an frugal number, since it uses more digits than its factorization.

98441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 48 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 98441 is about 313.7530876342. The cubic root of 98441 is about 46.1734159887.

The spelling of 98441 in words is "ninety-eight thousand, four hundred forty-one".

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