85724145 has 96 divisors (see below), whose sum is σ = 171924480. Its totient is φ = 39191040.

The previous prime is 85724141. The next prime is 85724167. The reversal of 85724145 is 54142758.

85724145 is a `hidden beast` number, since 8 + 572 + 41 + 45 = 666.

It is not a de Polignac number, because 85724145 - 2² = 85724141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85724141) 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 95 ways as a sum of consecutive naturals, for example, 525834 + ... + 525996.

It is an arithmetic number, because the mean of its divisors is an integer number (1790880).

Almost surely, 2^85724145 is an apocalyptic number.

It is an amenable number.

85724145 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

85724145 is a wasteful number, since it uses less digits than its factorization.

85724145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 244 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 85724145 is about 9258.7334446997. The cubic root of 85724145 is about 440.9280429281.

The spelling of 85724145 in words is "eighty-five million, seven hundred twenty-four thousand, one hundred forty-five".