82857065 has 16 divisors (see below), whose sum is σ = 105682320. Its totient is φ = 62146560.

The previous prime is 82857053. The next prime is 82857077. The reversal of 82857065 is 56075828.

82857065 = 6436² + 6437².

It is an interprime number because it is at equal distance from previous prime (82857053) and next prime (82857077).

It can be written as a sum of positive squares in 8 ways, for example, as 1658944 + 81198121 = 1288^2 + 9011^2 .

It is not a de Polignac number, because 82857065 - 2¹⁶ = 82791529 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22151 + ... + 25619.

It is an arithmetic number, because the mean of its divisors is an integer number (6605145).

Almost surely, 2^82857065 is an apocalyptic number.

82857065 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82857065 is the 6437-th centered square number.

It is an amenable number.

82857065 is a deficient number, since it is larger than the sum of its proper divisors (22825255).

82857065 is a wasteful number, since it uses less digits than its factorization.

82857065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772.

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 82857065 is about 9102.5856216792. The cubic root of 82857065 is about 435.9565246469.

The spelling of 82857065 in words is "eighty-two million, eight hundred fifty-seven thousand, sixty-five".