98361 has 8 divisors (see below), whose sum is σ = 145760. Its totient is φ = 65556.

The previous prime is 98347. The next prime is 98369. The reversal of 98361 is 16389.

It is not a de Polignac number, because 98361 - 2⁶ = 98297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3643 = 98361 / (9 + 8 + 3 + 6 + 1).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 11 and base 14.

It is not an unprimeable number, because it can be changed into a prime (98369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1795 + ... + 1848.

It is an arithmetic number, because the mean of its divisors is an integer number (18220).

2⁹⁸³⁶¹ is an apocalyptic number.

It is an amenable number.

98361 is a deficient number, since it is larger than the sum of its proper divisors (47399).

98361 is a wasteful number, since it uses less digits than its factorization.

98361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652 (or 3646 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 98361 is about 313.6255729369. The cubic root of 98361 is about 46.1609046897.

The spelling of 98361 in words is "ninety-eight thousand, three hundred sixty-one".