1825416 has 56 divisors (see below), whose sum is σ = 5148030. Its totient is φ = 606528.

The previous prime is 1825403. The next prime is 1825429. The reversal of 1825416 is 6145281.

It is an interprime number because it is at equal distance from previous prime (1825403) and next prime (1825429).

It can be written as a sum of positive squares in only one way, i.e., 1822500 + 2916 = 1350^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1825416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5676 + ... + 5988.

2^1825416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1825416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574015).

1825416 is an abundant number, since it is smaller than the sum of its proper divisors (3322614).

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

1825416 is an equidigital number, since it uses as much as digits as its factorization.

1825416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 318 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1825416 is about 1351.0795683453. The cubic root of 1825416 is about 122.2139040559.

The spelling of 1825416 in words is "one million, eight hundred twenty-five thousand, four hundred sixteen".