82082035 has 64 divisors (see below), whose sum is σ = 126904320. Its totient is φ = 49674240.

The previous prime is 82082023. The next prime is 82082051. The reversal of 82082035 is 53028028.

82082035 = 928² + 929² + ... + 1014².

It is not a de Polignac number, because 82082035 - 2⁷ = 82081907 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82081994 and 82082012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1156050 + ... + 1156120.

It is an arithmetic number, because the mean of its divisors is an integer number (1982880).

Almost surely, 2^82082035 is an apocalyptic number.

82082035 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82082035 is a deficient number, since it is larger than the sum of its proper divisors (44822285).

82082035 is a wasteful number, since it uses less digits than its factorization.

82082035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196.

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 82082035 is about 9059.9136309349. The cubic root of 82082035 is about 434.5929781517.

The spelling of 82082035 in words is "eighty-two million, eighty-two thousand, thirty-five".