82621631 has 2 divisors, whose sum is σ = 82621632. Its totient is φ = 82621630.

The previous prime is 82621577. The next prime is 82621661. The reversal of 82621631 is 13612628.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82621631 - 2¹⁴ = 82605247 is a prime.

It is a super-2 number, since 2×82621631² = 13652667818200322, which contains 22 as substring.

It is a Sophie Germain prime.

It is equal to p_4813445 and since 82621631 and 4813445 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 82621594 and 82621603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82621661) 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 as a sum of consecutive naturals, namely, 41310815 + 41310816.

It is an arithmetic number, because the mean of its divisors is an integer number (41310816).

Almost surely, 2^82621631 is an apocalyptic number.

82621631 is a deficient number, since it is larger than the sum of its proper divisors (1).

82621631 is an equidigital number, since it uses as much as digits as its factorization.

82621631 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 29.

The square root of 82621631 is about 9089.6441624521. The cubic root of 82621631 is about 435.5432170768.

The spelling of 82621631 in words is "eighty-two million, six hundred twenty-one thousand, six hundred thirty-one".