82360993 has 16 divisors (see below), whose sum is σ = 98594496. Its totient is φ = 67803840.

The previous prime is 82360979. The next prime is 82361033. The reversal of 82360993 is 39906328.

It is not a de Polignac number, because 82360993 - 2⁵ = 82360961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82360913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146 + ... + 13012.

It is an arithmetic number, because the mean of its divisors is an integer number (6162156).

Almost surely, 2^82360993 is an apocalyptic number.

It is an amenable number.

82360993 is a deficient number, since it is larger than the sum of its proper divisors (16233503).

82360993 is a wasteful number, since it uses less digits than its factorization.

82360993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10944.

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 82360993 is about 9075.2957527565. The cubic root of 82360993 is about 435.0847467774.

It can be divided in two parts, 823 and 60993, that added together give a palindrome (61816).

The spelling of 82360993 in words is "eighty-two million, three hundred sixty thousand, nine hundred ninety-three".