82707933 has 32 divisors (see below), whose sum is σ = 140313600. Its totient is φ = 42959280.

The previous prime is 82707917. The next prime is 82707959. The reversal of 82707933 is 33970728.

It is not a de Polignac number, because 82707933 - 2⁴ = 82707917 is a prime.

It is a super-2 number, since 2×82707933² = 13681204362264978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82707891 and 82707900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82707973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7666 + ... + 14972.

It is an arithmetic number, because the mean of its divisors is an integer number (4384800).

Almost surely, 2^82707933 is an apocalyptic number.

It is an amenable number.

82707933 is a deficient number, since it is larger than the sum of its proper divisors (57605667).

82707933 is a wasteful number, since it uses less digits than its factorization.

82707933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7342 (or 7328 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 82707933 is about 9094.3901939602. The cubic root of 82707933 is about 435.6948124492.

The spelling of 82707933 in words is "eighty-two million, seven hundred seven thousand, nine hundred thirty-three".