85399993 has 24 divisors (see below), whose sum is σ = 106018632. Its totient is φ = 68350464.

The previous prime is 85399981. The next prime is 85400023. The reversal of 85399993 is 39999358.

It can be written as a sum of positive squares in 4 ways, for example, as 7112889 + 78287104 = 2667^2 + 8848^2 .

It is not a de Polignac number, because 85399993 - 2⁵ = 85399961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85399903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130455 + ... + 131107.

It is an arithmetic number, because the mean of its divisors is an integer number (4417443).

Almost surely, 2^85399993 is an apocalyptic number.

It is an amenable number.

85399993 is a deficient number, since it is larger than the sum of its proper divisors (20618639).

85399993 is a wasteful number, since it uses less digits than its factorization.

85399993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 834 counting only the distinct ones).

The product of its digits is 2361960, while the sum is 55.

The square root of 85399993 is about 9241.2116629801. The cubic root of 85399993 is about 440.3715748951.

The spelling of 85399993 in words is "eighty-five million, three hundred ninety-nine thousand, nine hundred ninety-three".