83327985 has 36 divisors (see below), whose sum is σ = 156414492. Its totient is φ = 41019264.

The previous prime is 83327983. The next prime is 83327987. The reversal of 83327985 is 58972338.

It is an interprime number because it is at equal distance from previous prime (83327983) and next prime (83327987).

It can be written as a sum of positive squares in 6 ways, for example, as 12616704 + 70711281 = 3552^2 + 8409^2 .

It is not a de Polignac number, because 83327985 - 2¹ = 83327983 is a prime.

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 83327985.

It is not an unprimeable number, because it can be changed into a prime (83327983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2127 + ... + 13083.

It is an arithmetic number, because the mean of its divisors is an integer number (4344847).

Almost surely, 2^83327985 is an apocalyptic number.

It is an amenable number.

83327985 is a deficient number, since it is larger than the sum of its proper divisors (73086507).

83327985 is a wasteful number, since it uses less digits than its factorization.

83327985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10994 (or 10978 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 83327985 is about 9128.4163467712. The cubic root of 83327985 is about 436.7808877692.

The spelling of 83327985 in words is "eighty-three million, three hundred twenty-seven thousand, nine hundred eighty-five".