82682649 has 27 divisors (see below), whose sum is σ = 139250943. Its totient is φ = 47138112.

The previous prime is 82682641. The next prime is 82682657. The reversal of 82682649 is 94628628.

The square root of 82682649 is 9093.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (82682641) and next prime (82682657).

It can be written as a sum of positive squares in only one way, i.e., 9272025 + 73410624 = 3045^2 + 8568^2 .

It is not a de Polignac number, because 82682649 - 2³ = 82682641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82682641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 190737 + ... + 191169.

Almost surely, 2^82682649 is an apocalyptic number.

82682649 is the 9093-rd square number.

82682649 is the 4547-th centered octagonal number.

It is an amenable number.

82682649 is a deficient number, since it is larger than the sum of its proper divisors (56568294).

82682649 is an equidigital number, since it uses as much as digits as its factorization.

82682649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 443 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The cubic root of 82682649 is about 435.6504102983.

Multiplying 82682649 by its product of digits (331776), we get a square (27432118554624 = 5237568²).

The spelling of 82682649 in words is "eighty-two million, six hundred eighty-two thousand, six hundred forty-nine".