85152157 has 8 divisors (see below), whose sum is σ = 87059160. Its totient is φ = 83261760.

The previous prime is 85152143. The next prime is 85152209. The reversal of 85152157 is 75125158.

It can be written as a sum of positive squares in 4 ways, for example, as 125316 + 85026841 = 354^2 + 9221^2 .

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 85152157 - 2⁷ = 85152029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85152127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6519 + ... + 14587.

It is an arithmetic number, because the mean of its divisors is an integer number (10882395).

Almost surely, 2^85152157 is an apocalyptic number.

It is an amenable number.

85152157 is a deficient number, since it is larger than the sum of its proper divisors (1907003).

85152157 is a wasteful number, since it uses less digits than its factorization.

85152157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8303.

The product of its digits is 14000, while the sum is 34.

The square root of 85152157 is about 9227.7926396295. The cubic root of 85152157 is about 439.9451670651.

The spelling of 85152157 in words is "eighty-five million, one hundred fifty-two thousand, one hundred fifty-seven".