82627032141 has 24 divisors (see below), whose sum is σ = 122162932320. Its totient is φ = 53787265056.

The previous prime is 82627032083. The next prime is 82627032161. The reversal of 82627032141 is 14123072628.

It is a happy number.

82627032141 is a `hidden beast` number, since 8 + 2 + 627 + 0 + 3 + 21 + 4 + 1 = 666.

It is not a de Polignac number, because 82627032141 - 2¹⁵ = 82626999373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82627032096 and 82627032105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82627032161) 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, 1311730 + ... + 1373276.

It is an arithmetic number, because the mean of its divisors is an integer number (5090122180).

Almost surely, 2^82627032141 is an apocalyptic number.

It is an amenable number.

82627032141 is a deficient number, since it is larger than the sum of its proper divisors (39535900179).

82627032141 is a wasteful number, since it uses less digits than its factorization.

82627032141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65065 (or 65062 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 82627032141 in words is "eighty-two billion, six hundred twenty-seven million, thirty-two thousand, one hundred forty-one".