82042263 has 12 divisors (see below), whose sum is σ = 119934360. Its totient is φ = 54035376.

The previous prime is 82042249. The next prime is 82042277. The reversal of 82042263 is 36224028.

It is an interprime number because it is at equal distance from previous prime (82042249) and next prime (82042277).

It is not a de Polignac number, because 82042263 - 2⁸ = 82042007 is a prime.

It is a super-2 number, since 2×82042263² = 13461865836322338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82042223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54168 + ... + 55661.

It is an arithmetic number, because the mean of its divisors is an integer number (9994530).

Almost surely, 2^82042263 is an apocalyptic number.

82042263 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

82042263 is a deficient number, since it is larger than the sum of its proper divisors (37892097).

82042263 is a wasteful number, since it uses less digits than its factorization.

82042263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109918 (or 109915 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 82042263 is about 9057.7184213244. The cubic root of 82042263 is about 434.5227743027.

The spelling of 82042263 in words is "eighty-two million, forty-two thousand, two hundred sixty-three".