1971900 has 108 divisors (see below), whose sum is σ = 7086352. Its totient is φ = 449280.

The previous prime is 1971889. The next prime is 1971901. The reversal of 1971900 is 91791.

It is a super-2 number, since 2×1971900² = 7776779220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1971901) 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, 6144 + ... + 6456.

2^1971900 is an apocalyptic number.

1971900 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 1971900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543176).

1971900 is an abundant number, since it is smaller than the sum of its proper divisors (5114452).

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

1971900 is a wasteful number, since it uses less digits than its factorization.

1971900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

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

The square root of 1971900 is about 1404.2435686162. The cubic root of 1971900 is about 125.3992567281.

The spelling of 1971900 in words is "one million, nine hundred seventy-one thousand, nine hundred".