1205000 has 40 divisors (see below), whose sum is σ = 2835030. Its totient is φ = 480000.

The previous prime is 1204981. The next prime is 1205027. The reversal of 1205000 is 5021.

It can be written as a sum of positive squares in 5 ways, for example, as 68644 + 1136356 = 262^2 + 1066^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4880 + ... + 5120.

2^1205000 is an apocalyptic number.

1205000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417515).

1205000 is an abundant number, since it is smaller than the sum of its proper divisors (1630030).

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

1205000 is an equidigital number, since it uses as much as digits as its factorization.

1205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 1205000 is about 1097.7249200050. The cubic root of 1205000 is about 106.4132438712.

The spelling of 1205000 in words is "one million, two hundred five thousand".