82984575 has 48 divisors (see below), whose sum is σ = 145347840. Its totient is φ = 41690880.

The previous prime is 82984553. The next prime is 82984589. The reversal of 82984575 is 57548928.

It is not a de Polignac number, because 82984575 - 2⁵ = 82984543 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

Its product of digits (806400) is a multiple of the sum of its prime factors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125596 + ... + 126254.

It is an arithmetic number, because the mean of its divisors is an integer number (3028080).

Almost surely, 2^82984575 is an apocalyptic number.

82984575 is a deficient number, since it is larger than the sum of its proper divisors (62363265).

82984575 is a wasteful number, since it uses less digits than its factorization.

82984575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 763 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 82984575 is about 9109.5869829537. The cubic root of 82984575 is about 436.1800434071.

The spelling of 82984575 in words is "eighty-two million, nine hundred eighty-four thousand, five hundred seventy-five".