84768035 has 24 divisors (see below), whose sum is σ = 117902736. Its totient is φ = 58012160.

The previous prime is 84768023. The next prime is 84768049. The reversal of 84768035 is 53086748.

It is a happy number.

It is not a de Polignac number, because 84768035 - 2¹⁴ = 84751651 is a prime.

It is a super-2 number, since 2×84768035² = 14371239515522450, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 84767983 and 84768001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13229 + ... + 18561.

It is an arithmetic number, because the mean of its divisors is an integer number (4912614).

Almost surely, 2^84768035 is an apocalyptic number.

84768035 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

84768035 is a deficient number, since it is larger than the sum of its proper divisors (33134701).

84768035 is a wasteful number, since it uses less digits than its factorization.

84768035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 84768035 is about 9206.9557943981. The cubic root of 84768035 is about 439.2826378892.

The spelling of 84768035 in words is "eighty-four million, seven hundred sixty-eight thousand, thirty-five".