85785825 has 48 divisors (see below), whose sum is σ = 152775936. Its totient is φ = 42316800.

The previous prime is 85785811. The next prime is 85785827. The reversal of 85785825 is 52858758.

It is a happy number.

It is not a de Polignac number, because 85785825 - 2⁵ = 85785793 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85785827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77224 + ... + 78326.

It is an arithmetic number, because the mean of its divisors is an integer number (3182832).

Almost surely, 2^85785825 is an apocalyptic number.

85785825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85785825 is a deficient number, since it is larger than the sum of its proper divisors (66990111).

85785825 is a wasteful number, since it uses less digits than its factorization.

85785825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1189 counting only the distinct ones).

The product of its digits is 896000, while the sum is 48.

The square root of 85785825 is about 9262.0637549091. The cubic root of 85785825 is about 441.0337693507.

The spelling of 85785825 in words is "eighty-five million, seven hundred eighty-five thousand, eight hundred twenty-five".