82126465 has 8 divisors (see below), whose sum is σ = 98904168. Its totient is φ = 65466240.

The previous prime is 82126427. The next prime is 82126469. The reversal of 82126465 is 56462128.

It can be written as a sum of positive squares in 4 ways, for example, as 693889 + 81432576 = 833^2 + 9024^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82126465 - 2¹¹ = 82124417 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82126465.

It is not an unprimeable number, because it can be changed into a prime (82126469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27822 + ... + 30631.

It is an arithmetic number, because the mean of its divisors is an integer number (12363021).

Almost surely, 2^82126465 is an apocalyptic number.

It is an amenable number.

82126465 is a deficient number, since it is larger than the sum of its proper divisors (16777703).

82126465 is a wasteful number, since it uses less digits than its factorization.

82126465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58739.

The product of its digits is 23040, while the sum is 34.

The square root of 82126465 is about 9062.3653093439. The cubic root of 82126465 is about 434.6713772930.

The spelling of 82126465 in words is "eighty-two million, one hundred twenty-six thousand, four hundred sixty-five".