96993 has 12 divisors (see below), whose sum is σ = 151060. Its totient is φ = 59616.

The previous prime is 96989. The next prime is 96997. The reversal of 96993 is 39969.

96993 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (96989) and next prime (96997).

It can be written as a sum of positive squares in 2 ways, for example, as 33489 + 63504 = 183^2 + 252^2 .

It is not a de Polignac number, because 96993 - 2² = 96989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298 + ... + 531.

2⁹⁶⁹⁹³ is an apocalyptic number.

It is an amenable number.

96993 is a deficient number, since it is larger than the sum of its proper divisors (54067).

96993 is a wasteful number, since it uses less digits than its factorization.

96993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 845 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 96993 is about 311.4369920225. The cubic root of 96993 is about 45.9459036410.

It can be divided in two parts, 96 and 993, that added together give a square (1089 = 33²).

The spelling of 96993 in words is "ninety-six thousand, nine hundred ninety-three".