85381000 has 32 divisors (see below), whose sum is σ = 199793880. Its totient is φ = 34152000.

The previous prime is 85380973. The next prime is 85381063. The reversal of 85381000 is 18358.

It can be written as a sum of positive squares in 4 ways, for example, as 8608356 + 76772644 = 2934^2 + 8762^2 .

It is a super-2 number, since 2×85381000² = 14579830322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 41691 + ... + 43690.

Almost surely, 2^85381000 is an apocalyptic number.

It is an amenable number.

85381000 is an abundant number, since it is smaller than the sum of its proper divisors (114412880).

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

85381000 is a wasteful number, since it uses less digits than its factorization.

85381000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85402 (or 85388 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 85381000 is about 9240.1839808523. The cubic root of 85381000 is about 440.3389261904.

Adding to 85381000 its reverse (18358), we get a palindrome (85399358).

The spelling of 85381000 in words is "eighty-five million, three hundred eighty-one thousand".