82129311 has 24 divisors (see below), whose sum is σ = 129873744. Its totient is φ = 49599360.

The previous prime is 82129291. The next prime is 82129331. The reversal of 82129311 is 11392128.

It is an interprime number because it is at equal distance from previous prime (82129291) and next prime (82129331).

It is not a de Polignac number, because 82129311 - 2⁵ = 82129279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82129331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30075 + ... + 32691.

It is an arithmetic number, because the mean of its divisors is an integer number (5411406).

Almost surely, 2^82129311 is an apocalyptic number.

82129311 is a deficient number, since it is larger than the sum of its proper divisors (47744433).

82129311 is a wasteful number, since it uses less digits than its factorization.

82129311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2948 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 82129311 is about 9062.5223310070. The cubic root of 82129311 is about 434.6763982504.

The spelling of 82129311 in words is "eighty-two million, one hundred twenty-nine thousand, three hundred eleven".