82627633 has 12 divisors (see below), whose sum is σ = 96166980. Its totient is φ = 70695680.

The previous prime is 82627631. The next prime is 82627663. The reversal of 82627633 is 33672628.

It can be written as a sum of positive squares in 2 ways, for example, as 74943649 + 7683984 = 8657^2 + 2772^2 .

It is not a de Polignac number, because 82627633 - 2¹ = 82627631 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82627592 and 82627601.

It is not an unprimeable number, because it can be changed into a prime (82627631) 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 11 ways as a sum of consecutive naturals, for example, 18028 + ... + 22141.

It is an arithmetic number, because the mean of its divisors is an integer number (8013915).

Almost surely, 2^82627633 is an apocalyptic number.

It is an amenable number.

82627633 is a deficient number, since it is larger than the sum of its proper divisors (13539347).

82627633 is a wasteful number, since it uses less digits than its factorization.

82627633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40208 (or 40197 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 82627633 is about 9089.9743123949. The cubic root of 82627633 is about 435.5537634154.

It can be divided in two parts, 8 and 2627633, that added together give a square (2627641 = 1621²).

The spelling of 82627633 in words is "eighty-two million, six hundred twenty-seven thousand, six hundred thirty-three".