82582578 has 56 divisors (see below), whose sum is σ = 200058348. Its totient is φ = 25404192.

The previous prime is 82582567. The next prime is 82582589. The reversal of 82582578 is 87528528.

It is an interprime number because it is at equal distance from previous prime (82582567) and next prime (82582589).

It can be written as a sum of positive squares in 2 ways, for example, as 79869969 + 2712609 = 8937^2 + 1647^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16776 + ... + 21132.

Almost surely, 2^82582578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82582578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100029174).

82582578 is an abundant number, since it is smaller than the sum of its proper divisors (117475770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82582578 is a wasteful number, since it uses less digits than its factorization.

82582578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4375 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 82582578 is about 9087.4956946345. The cubic root of 82582578 is about 435.4745831137.

It can be divided in two parts, 82 and 582578, that added together give a triangular number (582660 = T₁₀₇₉).

The spelling of 82582578 in words is "eighty-two million, five hundred eighty-two thousand, five hundred seventy-eight".