83705633 has 8 divisors (see below), whose sum is σ = 91388736. Its totient is φ = 76034800.

The previous prime is 83705623. The next prime is 83705639. The reversal of 83705633 is 33650738.

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 83705633 - 2⁴ = 83705617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83705593 and 83705602.

It is not an unprimeable number, because it can be changed into a prime (83705639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16868 + ... + 21258.

It is an arithmetic number, because the mean of its divisors is an integer number (11423592).

Almost surely, 2^83705633 is an apocalyptic number.

It is an amenable number.

83705633 is a deficient number, since it is larger than the sum of its proper divisors (7683103).

83705633 is a wasteful number, since it uses less digits than its factorization.

83705633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6135.

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 83705633 is about 9149.0782595844. The cubic root of 83705633 is about 437.4397335217.

The spelling of 83705633 in words is "eighty-three million, seven hundred five thousand, six hundred thirty-three".