85953125 has 14 divisors (see below), whose sum is σ = 107459562. Its totient is φ = 68750000.

The previous prime is 85953107. The next prime is 85953137. The reversal of 85953125 is 52135958.

It can be written as a sum of positive squares in 7 ways, for example, as 78818884 + 7134241 = 8878^2 + 2671^2 .

It is not a de Polignac number, because 85953125 - 2¹² = 85949029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 12875 + ... + 18375.

It is an arithmetic number, because the mean of its divisors is an integer number (7675683).

Almost surely, 2^85953125 is an apocalyptic number.

It is an amenable number.

85953125 is a deficient number, since it is larger than the sum of its proper divisors (21506437).

85953125 is an frugal number, since it uses more digits than its factorization.

85953125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5531 (or 5506 counting only the distinct ones).

The product of its digits is 54000, while the sum is 38.

The square root of 85953125 is about 9271.0908203943. The cubic root of 85953125 is about 441.3202853582.

The spelling of 85953125 in words is "eighty-five million, nine hundred fifty-three thousand, one hundred twenty-five".