82541629 has 2 divisors, whose sum is σ = 82541630. Its totient is φ = 82541628.

The previous prime is 82541609. The next prime is 82541633. The reversal of 82541629 is 92614528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79174404 + 3367225 = 8898^2 + 1835^2 .

It is a cyclic number.

It is not a de Polignac number, because 82541629 - 2¹¹ = 82539581 is a prime.

It is a super-4 number, since 4×82541629⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82541609) 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, 41270814 + 41270815.

It is an arithmetic number, because the mean of its divisors is an integer number (41270815).

Almost surely, 2^82541629 is an apocalyptic number.

It is an amenable number.

82541629 is a deficient number, since it is larger than the sum of its proper divisors (1).

82541629 is an equidigital number, since it uses as much as digits as its factorization.

82541629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34560, while the sum is 37.

The square root of 82541629 is about 9085.2423743123. The cubic root of 82541629 is about 435.4025937694.

The spelling of 82541629 in words is "eighty-two million, five hundred forty-one thousand, six hundred twenty-nine".