82142629 has 2 divisors, whose sum is σ = 82142630. Its totient is φ = 82142628.

The previous prime is 82142581. The next prime is 82142651. The reversal of 82142629 is 92624128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44957025 + 37185604 = 6705^2 + 6098^2 .

It is a cyclic number.

It is not a de Polignac number, because 82142629 - 2⁹ = 82142117 is a prime.

It is a super-2 number, since 2×82142629² = 13494822998063282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82142594 and 82142603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82142689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41071314 + 41071315.

It is an arithmetic number, because the mean of its divisors is an integer number (41071315).

Almost surely, 2^82142629 is an apocalyptic number.

It is an amenable number.

82142629 is a deficient number, since it is larger than the sum of its proper divisors (1).

82142629 is an equidigital number, since it uses as much as digits as its factorization.

82142629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13824, while the sum is 34.

The square root of 82142629 is about 9063.2570856177. The cubic root of 82142629 is about 434.6998925316.

The spelling of 82142629 in words is "eighty-two million, one hundred forty-two thousand, six hundred twenty-nine".