82227936 has 48 divisors (see below), whose sum is σ = 246685824. Its totient is φ = 23493504.

The previous prime is 82227931. The next prime is 82227941. The reversal of 82227936 is 63972228.

It is an interprime number because it is at equal distance from previous prime (82227931) and next prime (82227941).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×82227936² = 13522866917640192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82227894 and 82227903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82227931) 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, 60510 + ... + 61853.

It is an arithmetic number, because the mean of its divisors is an integer number (5139288).

Almost surely, 2^82227936 is an apocalyptic number.

It is an amenable number.

82227936 is an abundant number, since it is smaller than the sum of its proper divisors (164457888).

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

82227936 is a wasteful number, since it uses less digits than its factorization.

82227936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122383 (or 122375 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 82227936 is about 9067.9620643229. The cubic root of 82227936 is about 434.8503223974.

The spelling of 82227936 in words is "eighty-two million, two hundred twenty-seven thousand, nine hundred thirty-six".