82129747 has 16 divisors (see below), whose sum is σ = 95703552. Its totient is φ = 69027840.

The previous prime is 82129741. The next prime is 82129753. The reversal of 82129747 is 74792128.

It is an interprime number because it is at equal distance from previous prime (82129741) and next prime (82129753).

It is not a de Polignac number, because 82129747 - 2²³ = 73741139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82129741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127408 + ... + 128050.

It is an arithmetic number, because the mean of its divisors is an integer number (5981472).

Almost surely, 2^82129747 is an apocalyptic number.

82129747 is a deficient number, since it is larger than the sum of its proper divisors (13573805).

82129747 is a wasteful number, since it uses less digits than its factorization.

82129747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978.

The product of its digits is 56448, while the sum is 40.

The square root of 82129747 is about 9062.5463860882. The cubic root of 82129747 is about 434.6771674381.

The spelling of 82129747 in words is "eighty-two million, one hundred twenty-nine thousand, seven hundred forty-seven".