83752105 has 8 divisors (see below), whose sum is σ = 100725192. Its totient is φ = 66853248.

The previous prime is 83752091. The next prime is 83752147. The reversal of 83752105 is 50125738.

It can be written as a sum of positive squares in 4 ways, for example, as 17606416 + 66145689 = 4196^2 + 8133^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83752105 - 2⁷ = 83751977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16042 + ... + 20611.

It is an arithmetic number, because the mean of its divisors is an integer number (12590649).

Almost surely, 2^83752105 is an apocalyptic number.

It is an amenable number.

83752105 is a deficient number, since it is larger than the sum of its proper divisors (16973087).

83752105 is a wasteful number, since it uses less digits than its factorization.

83752105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37115.

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 83752105 is about 9151.6176165747. The cubic root of 83752105 is about 437.5206716763.

The spelling of 83752105 in words is "eighty-three million, seven hundred fifty-two thousand, one hundred five".