82678565 has 24 divisors (see below), whose sum is σ = 109083240. Its totient is φ = 60075008.

The previous prime is 82678549. The next prime is 82678567. The reversal of 82678565 is 56587628.

It can be written as a sum of positive squares in 12 ways, for example, as 7579009 + 75099556 = 2753^2 + 8666^2 .

It is not a de Polignac number, because 82678565 - 2⁴ = 82678549 is a prime.

It is a super-2 number, since 2×82678565² = 13671490220918450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82678567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40919 + ... + 42891.

It is an arithmetic number, because the mean of its divisors is an integer number (4545135).

Almost surely, 2^82678565 is an apocalyptic number.

82678565 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82678565 is a deficient number, since it is larger than the sum of its proper divisors (26404675).

82678565 is a wasteful number, since it uses less digits than its factorization.

82678565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2024 counting only the distinct ones).

The product of its digits is 806400, while the sum is 47.

The square root of 82678565 is about 9092.7754288776. The cubic root of 82678565 is about 435.6432373884.

The spelling of 82678565 in words is "eighty-two million, six hundred seventy-eight thousand, five hundred sixty-five".