85993225 has 48 divisors (see below), whose sum is σ = 119563776. Its totient is φ = 61056000.

The previous prime is 85993199. The next prime is 85993231. The reversal of 85993225 is 52239958.

It is a happy number.

It is not a de Polignac number, because 85993225 - 2¹³ = 85985033 is a prime.

It is a super-4 number, since 4×85993225⁴ (a number of 33 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 803622 + ... + 803728.

It is an arithmetic number, because the mean of its divisors is an integer number (2490912).

Almost surely, 2^85993225 is an apocalyptic number.

85993225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85993225 is a deficient number, since it is larger than the sum of its proper divisors (33570551).

85993225 is a wasteful number, since it uses less digits than its factorization.

85993225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 221 counting only the distinct ones).

The product of its digits is 194400, while the sum is 43.

The square root of 85993225 is about 9273.2532047820. The cubic root of 85993225 is about 441.3889048997.

The spelling of 85993225 in words is "eighty-five million, nine hundred ninety-three thousand, two hundred twenty-five".