82714000 has 40 divisors (see below), whose sum is σ = 200007288. Its totient is φ = 33084800.

The previous prime is 82713997. The next prime is 82714001. The reversal of 82714000 is 41728.

It can be written as a sum of positive squares in 4 ways, for example, as 1281424 + 81432576 = 1132^2 + 9024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (82714001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18679 + ... + 22678.

Almost surely, 2^82714000 is an apocalyptic number.

82714000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82714000 is an abundant number, since it is smaller than the sum of its proper divisors (117293288).

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

82714000 is a wasteful number, since it uses less digits than its factorization.

82714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41380 (or 41364 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 82714000 is about 9094.7237451173. The cubic root of 82714000 is about 435.7054655821.

Adding to 82714000 its reverse (41728), we get a palindrome (82755728).

The spelling of 82714000 in words is "eighty-two million, seven hundred fourteen thousand".