82573471 has 8 divisors (see below), whose sum is σ = 87588864. Its totient is φ = 77575680.

The previous prime is 82573453. The next prime is 82573489. The reversal of 82573471 is 17437528.

82573471 = T₇₄₁₈ + T₇₄₁₉ + T₇₄₂₀.

It is an interprime number because it is at equal distance from previous prime (82573453) and next prime (82573489).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82573471 - 2⁷ = 82573343 is a prime.

It is a super-3 number, since 3×82573471³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82573471.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82573441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5986 + ... + 14176.

It is an arithmetic number, because the mean of its divisors is an integer number (10948608).

Almost surely, 2^82573471 is an apocalyptic number.

82573471 is the 7420-th centered triangular number.

82573471 is a deficient number, since it is larger than the sum of its proper divisors (5015393).

82573471 is a wasteful number, since it uses less digits than its factorization.

82573471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8801.

The product of its digits is 47040, while the sum is 37.

The square root of 82573471 is about 9086.9946076797. The cubic root of 82573471 is about 435.4585748429.

The spelling of 82573471 in words is "eighty-two million, five hundred seventy-three thousand, four hundred seventy-one".