1997100 has 108 divisors (see below), whose sum is σ = 7176624. Its totient is φ = 455040.

The previous prime is 1997089. The next prime is 1997101. The reversal of 1997100 is 17991.

It is not an unprimeable number, because it can be changed into a prime (1997101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6142 + ... + 6458.

2^1997100 is an apocalyptic number.

1997100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588312).

1997100 is an abundant number, since it is smaller than the sum of its proper divisors (5179524).

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

1997100 is a wasteful number, since it uses less digits than its factorization.

1997100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

The square root of 1997100 is about 1413.1878855977. The cubic root of 1997100 is about 125.9311793485.

The spelling of 1997100 in words is "one million, nine hundred ninety-seven thousand, one hundred".