96985 has 16 divisors (see below), whose sum is σ = 141696. Its totient is φ = 62208.

The previous prime is 96979. The next prime is 96989. The reversal of 96985 is 58969.

96985 = 26² + 27² + ... + 67².

It is a 3-Lehmer number, since φ(96985) divides (96985-1)³.

It is a cyclic number.

It is not a de Polignac number, because 96985 - 2⁵ = 96953 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514 + ... + 676.

It is an arithmetic number, because the mean of its divisors is an integer number (8856).

2⁹⁶⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

96985 is a deficient number, since it is larger than the sum of its proper divisors (44711).

96985 is a wasteful number, since it uses less digits than its factorization.

96985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192.

The product of its digits is 19440, while the sum is 37.

The square root of 96985 is about 311.4241480682. The cubic root of 96985 is about 45.9446403975.

It can be divided in two parts, 96 and 985, that added together give a triangular number (1081 = T₄₆).

The spelling of 96985 in words is "ninety-six thousand, nine hundred eighty-five".