1386825 has 36 divisors (see below), whose sum is σ = 2563824. Its totient is φ = 656000.

The previous prime is 1386823. The next prime is 1386839. The reversal of 1386825 is 5286831.

It is a happy number.

It is not a de Polignac number, because 1386825 - 2¹ = 1386823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (11520) is a multiple of the sum of its prime divisors (60).

It is a Curzon number.

1386825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1386821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33805 + ... + 33845.

2^1386825 is an apocalyptic number.

1386825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1386825 is a deficient number, since it is larger than the sum of its proper divisors (1176999).

1386825 is a wasteful number, since it uses less digits than its factorization.

1386825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 1386825 is about 1177.6353425403. The cubic root of 1386825 is about 111.5168655405.

Multiplying 1386825 by its sum of digits (33), we get a square (45765225 = 6765²).

1386825 divided by its sum of digits (33) gives a square (42025 = 205²).

It can be divided in two parts, 1386 and 825, that added together give a triangular number (2211 = T₆₆).

The spelling of 1386825 in words is "one million, three hundred eighty-six thousand, eight hundred twenty-five".