82980993 has 16 divisors (see below), whose sum is σ = 112766976. Its totient is φ = 54267600.

The previous prime is 82980983. The next prime is 82981009. The reversal of 82980993 is 39908928.

It is a de Polignac number, because none of the positive numbers 2^k-82980993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82980943) 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, 36496 + ... + 38702.

It is an arithmetic number, because the mean of its divisors is an integer number (7047936).

Almost surely, 2^82980993 is an apocalyptic number.

82980993 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

82980993 is a deficient number, since it is larger than the sum of its proper divisors (29785983).

82980993 is a wasteful number, since it uses less digits than its factorization.

82980993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444.

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 82980993 is about 9109.3903747726. The cubic root of 82980993 is about 436.1737674640.

The spelling of 82980993 in words is "eighty-two million, nine hundred eighty thousand, nine hundred ninety-three".