82007471 has 16 divisors (see below), whose sum is σ = 101434368. Its totient is φ = 64562400.

The previous prime is 82007449. The next prime is 82007479. The reversal of 82007471 is 17470028.

It is not a de Polignac number, because 82007471 - 2¹⁴ = 81991087 is a prime.

It is a super-3 number, since 3×82007471³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82007479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17066 + ... + 21336.

It is an arithmetic number, because the mean of its divisors is an integer number (6339648).

Almost surely, 2^82007471 is an apocalyptic number.

82007471 is a deficient number, since it is larger than the sum of its proper divisors (19426897).

82007471 is a wasteful number, since it uses less digits than its factorization.

82007471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4502.

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 82007471 is about 9055.7976457074. The cubic root of 82007471 is about 434.4613423311.

Adding to 82007471 its reverse (17470028), we get a palindrome (99477499).

The spelling of 82007471 in words is "eighty-two million, seven thousand, four hundred seventy-one".