85252905 has 56 divisors (see below), whose sum is σ = 161589120. Its totient is φ = 43040160.

The previous prime is 85252897. The next prime is 85252931. The reversal of 85252905 is 50925258.

It is not a de Polignac number, because 85252905 - 2³ = 85252897 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 85252905.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 68640 + ... + 69870.

It is an arithmetic number, because the mean of its divisors is an integer number (2885520).

Almost surely, 2^85252905 is an apocalyptic number.

85252905 is the 4617-th decagonal number.

It is an amenable number.

85252905 is a deficient number, since it is larger than the sum of its proper divisors (76336215).

85252905 is a wasteful number, since it uses less digits than its factorization.

85252905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 85252905 is about 9233.2499695394. The cubic root of 85252905 is about 440.1186061111.

The spelling of 85252905 in words is "eighty-five million, two hundred fifty-two thousand, nine hundred five".