1085175 has 72 divisors (see below), whose sum is σ = 2437344. Its totient is φ = 449280.

The previous prime is 1085159. The next prime is 1085179. The reversal of 1085175 is 5715801.

It is not a de Polignac number, because 1085175 - 2⁴ = 1085159 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085179) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20449 + ... + 20501.

It is an arithmetic number, because the mean of its divisors is an integer number (33852).

2^1085175 is an apocalyptic number.

1085175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1085175 is an abundant number, since it is smaller than the sum of its proper divisors (1352169).

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

1085175 is a wasteful number, since it uses less digits than its factorization.

1085175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 1085175 is about 1041.7173321012. The cubic root of 1085175 is about 102.7621684489.

The spelling of 1085175 in words is "one million, eighty-five thousand, one hundred seventy-five".