85552938 has 24 divisors (see below), whose sum is σ = 186723108. Its totient is φ = 28308672.

The previous prime is 85552913. The next prime is 85553023. The reversal of 85552938 is 83925558.

85552938 is a `hidden beast` number, since 8 + 5 + 552 + 93 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84327489 + 1225449 = 9183^2 + 1107^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85552893 and 85552902.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14881 + ... + 19812.

Almost surely, 2^85552938 is an apocalyptic number.

85552938 is an abundant number, since it is smaller than the sum of its proper divisors (101170170).

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

85552938 is a wasteful number, since it uses less digits than its factorization.

85552938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34838 (or 34835 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 85552938 is about 9249.4831206938. The cubic root of 85552938 is about 440.6343089628.

The spelling of 85552938 in words is "eighty-five million, five hundred fifty-two thousand, nine hundred thirty-eight".