83039985 has 80 divisors (see below), whose sum is σ = 180233856. Its totient is φ = 35707392.

The previous prime is 83039977. The next prime is 83039993. The reversal of 83039985 is 58993038.

It is an interprime number because it is at equal distance from previous prime (83039977) and next prime (83039993).

It is not a de Polignac number, because 83039985 - 2³ = 83039977 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83039985.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47334 + ... + 49056.

Almost surely, 2^83039985 is an apocalyptic number.

83039985 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83039985 is an abundant number, since it is smaller than the sum of its proper divisors (97193871).

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

83039985 is a wasteful number, since it uses less digits than its factorization.

83039985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 83039985 is about 9112.6277768819. The cubic root of 83039985 is about 436.2771030471.

The spelling of 83039985 in words is "eighty-three million, thirty-nine thousand, nine hundred eighty-five".