82334287035 has 384 divisors, whose sum is σ = 205604904960. Its totient is φ = 29328998400.

The previous prime is 82334287019. The next prime is 82334287043. The reversal of 82334287035 is 53078243328.

82334287035 is a `hidden beast` number, since 8 + 2 + 334 + 287 + 0 + 35 = 666.

It is not a de Polignac number, because 82334287035 - 2⁴ = 82334287019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 in 383 ways as a sum of consecutive naturals, for example, 60494755 + ... + 60496115.

It is an arithmetic number, because the mean of its divisors is an integer number (535429440).

Almost surely, 2^82334287035 is an apocalyptic number.

82334287035 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82334287035 is an abundant number, since it is smaller than the sum of its proper divisors (123270617925).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82334287035 is a wasteful number, since it uses less digits than its factorization.

82334287035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 82334287035 in words is "eighty-two billion, three hundred thirty-four million, two hundred eighty-seven thousand, thirty-five".