82073931 has 16 divisors (see below), whose sum is σ = 111837600. Its totient is φ = 53526528.

The previous prime is 82073917. The next prime is 82073933. The reversal of 82073931 is 13937028.

It is not a de Polignac number, because 82073931 - 2⁵ = 82073899 is a prime.

It is a super-3 number, since 3×82073931³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 82073892 and 82073901.

It is not an unprimeable number, because it can be changed into a prime (82073933) 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, 24315 + ... + 27483.

It is an arithmetic number, because the mean of its divisors is an integer number (6989850).

Almost surely, 2^82073931 is an apocalyptic number.

82073931 is a deficient number, since it is larger than the sum of its proper divisors (29763669).

82073931 is a wasteful number, since it uses less digits than its factorization.

82073931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 82073931 is about 9059.4663750135. The cubic root of 82073931 is about 434.5786751543.

The spelling of 82073931 in words is "eighty-two million, seventy-three thousand, nine hundred thirty-one".