1973625 has 32 divisors (see below), whose sum is σ = 3469440. Its totient is φ = 993600.

The previous prime is 1973597. The next prime is 1973627. The reversal of 1973625 is 5263791.

It is not a de Polignac number, because 1973625 - 2⁸ = 1973369 is a prime.

It is a d-powerful number, because it can be written as 1 + 9² + 7 + 3⁹ + 6³ + 2⁹ + 5⁹ .

1973625 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1973627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6987 + ... + 7263.

It is an arithmetic number, because the mean of its divisors is an integer number (108420).

2^1973625 is an apocalyptic number.

1973625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1973625 is a deficient number, since it is larger than the sum of its proper divisors (1495815).

1973625 is a wasteful number, since it uses less digits than its factorization.

1973625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 1973625 is about 1404.8576440337. The cubic root of 1973625 is about 125.4358121099.

The spelling of 1973625 in words is "one million, nine hundred seventy-three thousand, six hundred twenty-five".