997625 has 16 divisors (see below), whose sum is σ = 1302912. Its totient is φ = 761200.

The previous prime is 997609. The next prime is 997627. The reversal of 997625 is 526799.

It is not a de Polignac number, because 997625 - 2⁴ = 997609 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 997625.

It is not an unprimeable number, because it can be changed into a prime (997627) 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 15 ways as a sum of consecutive naturals, for example, 2702 + ... + 3048.

It is an arithmetic number, because the mean of its divisors is an integer number (81432).

2⁹⁹⁷⁶²⁵ is an apocalyptic number.

It is an amenable number.

997625 is a deficient number, since it is larger than the sum of its proper divisors (305287).

997625 is a wasteful number, since it uses less digits than its factorization.

997625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its digits is 34020, while the sum is 38.

The square root of 997625 is about 998.8117940833. The cubic root of 997625 is about 99.9207705769.

It can be divided in two parts, 9976 and 25, that added together give a palindrome (10001).

The spelling of 997625 in words is "nine hundred ninety-seven thousand, six hundred twenty-five".