85083552 has 36 divisors (see below), whose sum is σ = 241957170. Its totient is φ = 28361088.

The previous prime is 85083527. The next prime is 85083563. The reversal of 85083552 is 25538058.

It can be written as a sum of positive squares in only one way, i.e., 79495056 + 5588496 = 8916^2 + 2364^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147427 + ... + 148002.

Almost surely, 2^85083552 is an apocalyptic number.

It is an amenable number.

85083552 is an abundant number, since it is smaller than the sum of its proper divisors (156873618).

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

85083552 is a wasteful number, since it uses less digits than its factorization.

85083552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295445 (or 295434 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 85083552 is about 9224.0745877297. The cubic root of 85083552 is about 439.8269843177.

The spelling of 85083552 in words is "eighty-five million, eighty-three thousand, five hundred fifty-two".