97983 has 16 divisors (see below), whose sum is σ = 153600. Its totient is φ = 61560.

The previous prime is 97973. The next prime is 97987. The reversal of 97983 is 38979.

It is not a de Polignac number, because 97983 - 2⁴ = 97967 is a prime.

It is an Ulam number.

It is a nialpdrome in base 7.

It is a zygodrome in base 4 and base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418 + ... + 608.

It is an arithmetic number, because the mean of its divisors is an integer number (9600).

2⁹⁷⁹⁸³ is an apocalyptic number.

97983 is a deficient number, since it is larger than the sum of its proper divisors (55617).

97983 is a wasteful number, since it uses less digits than its factorization.

97983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 97983 is about 313.0223634183. The cubic root of 97983 is about 46.1016968679.

It can be divided in two parts, 9798 and 3, that added together give a square (9801 = 99²).

The spelling of 97983 in words is "ninety-seven thousand, nine hundred eighty-three".