2001972 has 24 divisors (see below), whose sum is σ = 5338816. Its totient is φ = 571968.

The previous prime is 2001953. The next prime is 2001977. The reversal of 2001972 is 2791002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11833 + ... + 12000.

2^2001972 is an apocalyptic number.

It is an amenable number.

2001972 is an abundant number, since it is smaller than the sum of its proper divisors (3336844).

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

2001972 is a wasteful number, since it uses less digits than its factorization.

2001972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23847 (or 23845 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 2001972 is about 1414.9105978824. The cubic root of 2001972 is about 126.0335007922.

Adding to 2001972 its reverse (2791002), we get a palindrome (4792974).

The spelling of 2001972 in words is "two million, one thousand, nine hundred seventy-two".