82336905 has 84 divisors (see below), whose sum is σ = 172698372. Its totient is φ = 37558080.

The previous prime is 82336901. The next prime is 82336909. The reversal of 82336905 is 50963328.

It is an interprime number because it is at equal distance from previous prime (82336901) and next prime (82336909).

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 54331641 = 5292^2 + 7371^2 .

It is not a de Polignac number, because 82336905 - 2² = 82336901 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82336905.

It is not an unprimeable number, because it can be changed into a prime (82336901) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 178375 + ... + 178835.

It is an arithmetic number, because the mean of its divisors is an integer number (2055933).

Almost surely, 2^82336905 is an apocalyptic number.

It is an amenable number.

82336905 is an abundant number, since it is smaller than the sum of its proper divisors (90361467).

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

82336905 is an equidigital number, since it uses as much as digits as its factorization.

82336905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 82336905 is about 9073.9685364233. The cubic root of 82336905 is about 435.0423264403.

The spelling of 82336905 in words is "eighty-two million, three hundred thirty-six thousand, nine hundred five".