82971693 has 24 divisors (see below), whose sum is σ = 137904000. Its totient is φ = 47088864.

The previous prime is 82971673. The next prime is 82971701. The reversal of 82971693 is 39617928.

It is not a de Polignac number, because 82971693 - 2¹⁰ = 82970669 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82971643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4968 + ... + 13806.

It is an arithmetic number, because the mean of its divisors is an integer number (5746000).

Almost surely, 2^82971693 is an apocalyptic number.

It is an amenable number.

82971693 is a deficient number, since it is larger than the sum of its proper divisors (54932307).

82971693 is a wasteful number, since it uses less digits than its factorization.

82971693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9001 (or 8998 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 82971693 is about 9108.8798982092. The cubic root of 82971693 is about 436.1574722963.

The spelling of 82971693 in words is "eighty-two million, nine hundred seventy-one thousand, six hundred ninety-three".