1205825 has 12 divisors (see below), whose sum is σ = 1510320. Its totient is φ = 954960.

The previous prime is 1205819. The next prime is 1205843. The reversal of 1205825 is 5285021.

It is not a de Polignac number, because 1205825 - 2¹² = 1201729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1205825.

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, 3302 + ... + 3648.

It is an arithmetic number, because the mean of its divisors is an integer number (125860).

2^1205825 is an apocalyptic number.

It is an amenable number.

1205825 is a deficient number, since it is larger than the sum of its proper divisors (304495).

1205825 is a wasteful number, since it uses less digits than its factorization.

1205825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 1205825 is about 1098.1006329112. The cubic root of 1205825 is about 106.4375235112.

The spelling of 1205825 in words is "one million, two hundred five thousand, eight hundred twenty-five".