85829605 has 16 divisors (see below), whose sum is σ = 106142400. Its totient is φ = 66586240.

The previous prime is 85829599. The next prime is 85829621. The reversal of 85829605 is 50692858.

It is not a de Polignac number, because 85829605 - 2¹⁷ = 85698533 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35526 + ... + 37864.

It is an arithmetic number, because the mean of its divisors is an integer number (6633900).

Almost surely, 2^85829605 is an apocalyptic number.

It is an amenable number.

85829605 is a deficient number, since it is larger than the sum of its proper divisors (20312795).

85829605 is a wasteful number, since it uses less digits than its factorization.

85829605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564.

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 85829605 is about 9264.4268576097. The cubic root of 85829605 is about 441.1087824223.

The spelling of 85829605 in words is "eighty-five million, eight hundred twenty-nine thousand, six hundred five".