1305825 has 24 divisors (see below), whose sum is σ = 2255808. Its totient is φ = 665280.

The previous prime is 1305823. The next prime is 1305869. The reversal of 1305825 is 5285031.

It is not a de Polignac number, because 1305825 - 2¹ = 1305823 is a prime.

1305825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1305795 and 1305804.

It is not an unprimeable number, because it can be changed into a prime (1305823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1347 + ... + 2103.

It is an arithmetic number, because the mean of its divisors is an integer number (93992).

2^1305825 is an apocalyptic number.

1305825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1305825 is a deficient number, since it is larger than the sum of its proper divisors (949983).

1305825 is a wasteful number, since it uses less digits than its factorization.

1305825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1305825 is about 1142.7270015187. The cubic root of 1305825 is about 109.3020547630.

The spelling of 1305825 in words is "one million, three hundred five thousand, eight hundred twenty-five".