98657 has 4 divisors (see below), whose sum is σ = 106260. Its totient is φ = 91056.

The previous prime is 98641. The next prime is 98663. The reversal of 98657 is 75689.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6241 + 92416 = 79^2 + 304^2 .

It is a cyclic number.

It is not a de Polignac number, because 98657 - 2⁴ = 98641 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98657.

It is not an unprimeable number, because it can be changed into a prime (98627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3782 + ... + 3807.

It is an arithmetic number, because the mean of its divisors is an integer number (26565).

2⁹⁸⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

98657 is a deficient number, since it is larger than the sum of its proper divisors (7603).

98657 is a wasteful number, since it uses less digits than its factorization.

98657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7602.

The product of its digits is 15120, while the sum is 35.

The square root of 98657 is about 314.0971187388. The cubic root of 98657 is about 46.2071626733.

The spelling of 98657 in words is "ninety-eight thousand, six hundred fifty-seven".