82629963 has 28 divisors (see below), whose sum is σ = 133433440. Its totient is φ = 50843376.

The previous prime is 82629949. The next prime is 82629977. The reversal of 82629963 is 36992628.

It is an interprime number because it is at equal distance from previous prime (82629949) and next prime (82629977).

It is not a de Polignac number, because 82629963 - 2⁴ = 82629947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82629263) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5118 + ... + 13836.

It is an arithmetic number, because the mean of its divisors is an integer number (4765480).

Almost surely, 2^82629963 is an apocalyptic number.

82629963 is a deficient number, since it is larger than the sum of its proper divisors (50803477).

82629963 is an equidigital number, since it uses as much as digits as its factorization.

82629963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8750 (or 8735 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 82629963 is about 9090.1024746699. The cubic root of 82629963 is about 435.5578574079.

It can be divided in two parts, 8262 and 9963, that added together give a square (18225 = 135²).

The spelling of 82629963 in words is "eighty-two million, six hundred twenty-nine thousand, nine hundred sixty-three".