82973647 has 16 divisors (see below), whose sum is σ = 87552000. Its totient is φ = 78550560.

The previous prime is 82973641. The next prime is 82973663. The reversal of 82973647 is 74637928.

82973647 = 63³ + 64³ + ... + 136³.

It is a cyclic number.

It is not a de Polignac number, because 82973647 - 2⁷ = 82973519 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82973597 and 82973606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82973641) 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, 416854 + ... + 417052.

It is an arithmetic number, because the mean of its divisors is an integer number (5472000).

Almost surely, 2^82973647 is an apocalyptic number.

82973647 is a deficient number, since it is larger than the sum of its proper divisors (4578353).

82973647 is a wasteful number, since it uses less digits than its factorization.

82973647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486.

The product of its digits is 508032, while the sum is 46.

The square root of 82973647 is about 9108.9871555514. The cubic root of 82973647 is about 436.1608961348.

The spelling of 82973647 in words is "eighty-two million, nine hundred seventy-three thousand, six hundred forty-seven".