82365426 has 72 divisors (see below), whose sum is σ = 211318380. Its totient is φ = 23031360.

The previous prime is 82365421. The next prime is 82365431. The reversal of 82365426 is 62456328.

82365426 is a `hidden beast` number, since 82 + 36 + 542 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (82365421) and next prime (82365431).

It can be written as a sum of positive squares in 2 ways, for example, as 82355625 + 9801 = 9075^2 + 99^2 .

It is a super-2 number, since 2×82365426² = 13568126800322952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82365421) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26860 + ... + 29768.

Almost surely, 2^82365426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82365426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105659190).

82365426 is an abundant number, since it is smaller than the sum of its proper divisors (128952954).

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

82365426 is a wasteful number, since it uses less digits than its factorization.

82365426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2938 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 82365426 is about 9075.5399839348. The cubic root of 82365426 is about 435.0925526412.

The spelling of 82365426 in words is "eighty-two million, three hundred sixty-five thousand, four hundred twenty-six".