82047021 has 24 divisors (see below), whose sum is σ = 129669984. Its totient is φ = 45995040.

The previous prime is 82047011. The next prime is 82047023. The reversal of 82047021 is 12074028.

It is not a de Polignac number, because 82047021 - 2⁹ = 82046509 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82046982 and 82047000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82047023) 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, 2526 + ... + 13056.

It is an arithmetic number, because the mean of its divisors is an integer number (5402916).

Almost surely, 2^82047021 is an apocalyptic number.

It is an amenable number.

82047021 is a deficient number, since it is larger than the sum of its proper divisors (47622963).

82047021 is a wasteful number, since it uses less digits than its factorization.

82047021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10601 (or 10594 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 82047021 is about 9057.9810664408. The cubic root of 82047021 is about 434.5311741173.

It can be divided in two parts, 8204 and 7021, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 82047021 in words is "eighty-two million, forty-seven thousand, twenty-one".