85338066 has 16 divisors (see below), whose sum is σ = 186192288. Its totient is φ = 25860000.

The previous prime is 85338053. The next prime is 85338107. The reversal of 85338066 is 66083358.

85338066 = 879² + 880² + ... + 977².

It is a Curzon number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 646435 + ... + 646566.

It is an arithmetic number, because the mean of its divisors is an integer number (11637018).

Almost surely, 2^85338066 is an apocalyptic number.

85338066 is an abundant number, since it is smaller than the sum of its proper divisors (100854222).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85338066 is a wasteful number, since it uses less digits than its factorization.

85338066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293017.

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 85338066 is about 9237.8604665799. The cubic root of 85338066 is about 440.2651053902.

The spelling of 85338066 in words is "eighty-five million, three hundred thirty-eight thousand, sixty-six".