38102085 has 96 divisors (see below), whose sum is σ = 80720640. Its totient is φ = 16257024.

The previous prime is 38102059. The next prime is 38102093. The reversal of 38102085 is 58020183.

It is a happy number.

38102085 is a nontrivial binomial coefficient, being equal to C(8730, 2).

It is not a de Polignac number, because 38102085 - 2⁷ = 38101957 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 392757 + ... + 392853.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 2^38102085 is an apocalyptic number.

38102085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38102085 is the 8729-th triangular number and also the 4365-th hexagonal number.

It is an amenable number.

38102085 is an abundant number, since it is smaller than the sum of its proper divisors (42618555).

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

38102085 is a wasteful number, since it uses less digits than its factorization.

38102085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 38102085 is about 6172.6886362427. The cubic root of 38102085 is about 336.4983304880.

The spelling of 38102085 in words is "thirty-eight million, one hundred two thousand, eighty-five".