5461825 has 12 divisors (see below), whose sum is σ = 6813180. Its totient is φ = 4343360.

The previous prime is 5461801. The next prime is 5461849. The reversal of 5461825 is 5281645.

It is an interprime number because it is at equal distance from previous prime (5461801) and next prime (5461849).

It can be written as a sum of positive squares in 6 ways, for example, as 121104 + 5340721 = 348^2 + 2311^2 .

It is a de Polignac number, because none of the positive numbers 2^k-5461825 is a prime.

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 11 ways as a sum of consecutive naturals, for example, 4371 + ... + 5479.

It is an arithmetic number, because the mean of its divisors is an integer number (567765).

Almost surely, 2^5461825 is an apocalyptic number.

It is an amenable number.

5461825 is a deficient number, since it is larger than the sum of its proper divisors (1351355).

5461825 is a wasteful number, since it uses less digits than its factorization.

5461825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1311 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 5461825 is about 2337.0547704322. The cubic root of 5461825 is about 176.1080711092.

Subtracting from 5461825 its product of digits (9600), we obtain a square (5452225 = 2335²).

The spelling of 5461825 in words is "five million, four hundred sixty-one thousand, eight hundred twenty-five".