1200825 has 30 divisors (see below), whose sum is σ = 2228094. Its totient is φ = 639360.

The previous prime is 1200811. The next prime is 1200833. The reversal of 1200825 is 5280021.

It can be written as a sum of positive squares in 3 ways, for example, as 110889 + 1089936 = 333^2 + 1044^2 .

It is not a de Polignac number, because 1200825 - 2⁴ = 1200809 is a prime.

1200825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1200798 and 1200807.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1729 + ... + 2321.

2^1200825 is an apocalyptic number.

1200825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1200825 is a deficient number, since it is larger than the sum of its proper divisors (1027269).

1200825 is an equidigital number, since it uses as much as digits as its factorization.

1200825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1200825 is about 1095.8216095697. The cubic root of 1200825 is about 106.2902039318.

Adding to 1200825 its reverse (5280021), we get a palindrome (6480846).

It can be divided in two parts, 1200 and 825, that added together give a square (2025 = 45²).

The spelling of 1200825 in words is "one million, two hundred thousand, eight hundred twenty-five".