1972900 has 36 divisors (see below), whose sum is σ = 4344340. Its totient is φ = 777600.

The previous prime is 1972891. The next prime is 1972913. The reversal of 1972900 is 92791.

It can be written as a sum of positive squares in 6 ways, for example, as 272484 + 1700416 = 522^2 + 1304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10810 + ... + 10990.

2^1972900 is an apocalyptic number.

1972900 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 1972900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172170).

1972900 is an abundant number, since it is smaller than the sum of its proper divisors (2371440).

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

1972900 is a wasteful number, since it uses less digits than its factorization.

1972900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 1972900 is about 1404.5995870710. The cubic root of 1972900 is about 125.4204508497.

The spelling of 1972900 in words is "one million, nine hundred seventy-two thousand, nine hundred".