85189629 has 32 divisors (see below), whose sum is σ = 132857856. Its totient is φ = 47551680.

The previous prime is 85189627. The next prime is 85189633. The reversal of 85189629 is 92698158.

It is a happy number.

It is not a de Polignac number, because 85189629 - 2¹ = 85189627 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85189627) 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 31 ways as a sum of consecutive naturals, for example, 268579 + ... + 268895.

It is an arithmetic number, because the mean of its divisors is an integer number (4151808).

Almost surely, 2^85189629 is an apocalyptic number.

It is an amenable number.

85189629 is a deficient number, since it is larger than the sum of its proper divisors (47668227).

85189629 is a wasteful number, since it uses less digits than its factorization.

85189629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585.

The product of its digits is 311040, while the sum is 48.

The square root of 85189629 is about 9229.8228043663. The cubic root of 85189629 is about 440.0096915909.

The spelling of 85189629 in words is "eighty-five million, one hundred eighty-nine thousand, six hundred twenty-nine".