1971825 has 24 divisors (see below), whose sum is σ = 3321216. Its totient is φ = 1032000.

The previous prime is 1971799. The next prime is 1971829. The reversal of 1971825 is 5281791.

It is not a de Polignac number, because 1971825 - 2⁹ = 1971313 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1971829) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4360 + ... + 4790.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

2^1971825 is an apocalyptic number.

1971825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1971825 is a deficient number, since it is larger than the sum of its proper divisors (1349391).

1971825 is a wasteful number, since it uses less digits than its factorization.

1971825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 500 counting only the distinct ones).

The product of its digits is 5040, while the sum is 33.

The square root of 1971825 is about 1404.2168635934. The cubic root of 1971825 is about 125.3976668802.

The spelling of 1971825 in words is "one million, nine hundred seventy-one thousand, eight hundred twenty-five".