98961 has 4 divisors (see below), whose sum is σ = 131952. Its totient is φ = 65972.

The previous prime is 98953. The next prime is 98963. The reversal of 98961 is 16989.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 98961 - 2³ = 98953 is a prime.

It is a D-number.

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

It is not an unprimeable number, because it can be changed into a prime (98963) 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, 16491 + ... + 16496.

It is an arithmetic number, because the mean of its divisors is an integer number (32988).

2⁹⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

98961 is a deficient number, since it is larger than the sum of its proper divisors (32991).

98961 is a wasteful number, since it uses less digits than its factorization.

98961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32990.

The product of its digits is 3888, while the sum is 33.

The square root of 98961 is about 314.5806732779. The cubic root of 98961 is about 46.2545746632.

The spelling of 98961 in words is "ninety-eight thousand, nine hundred sixty-one".