83852307 has 64 divisors (see below), whose sum is σ = 158008320. Its totient is φ = 42681600.

The previous prime is 83852299. The next prime is 83852333. The reversal of 83852307 is 70325838.

It is not a de Polignac number, because 83852307 - 2³ = 83852299 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (83852407) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 109807 + ... + 110567.

It is an arithmetic number, because the mean of its divisors is an integer number (2468880).

Almost surely, 2^83852307 is an apocalyptic number.

83852307 is a deficient number, since it is larger than the sum of its proper divisors (74156013).

83852307 is a wasteful number, since it uses less digits than its factorization.

83852307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 83852307 is about 9157.0905313860. The cubic root of 83852307 is about 437.6950870904.

The spelling of 83852307 in words is "eighty-three million, eight hundred fifty-two thousand, three hundred seven".