85808132 has 24 divisors (see below), whose sum is σ = 152338200. Its totient is φ = 42287616.

The previous prime is 85808119. The next prime is 85808137. The reversal of 85808132 is 23180858.

It can be written as a sum of positive squares in 4 ways, for example, as 10916416 + 74891716 = 3304^2 + 8654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85808092 and 85808101.

It is not an unprimeable number, because it can be changed into a prime (85808137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103094 + ... + 103922.

It is an arithmetic number, because the mean of its divisors is an integer number (6347425).

Almost surely, 2^85808132 is an apocalyptic number.

It is an amenable number.

85808132 is a deficient number, since it is larger than the sum of its proper divisors (66530068).

85808132 is a wasteful number, since it uses less digits than its factorization.

85808132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 85808132 is about 9263.2678898972. The cubic root of 85808132 is about 441.0719935665.

The spelling of 85808132 in words is "eighty-five million, eight hundred eight thousand, one hundred thirty-two".