2017972 has 12 divisors (see below), whose sum is σ = 3852576. Its totient is φ = 917240.

The previous prime is 2017963. The next prime is 2017987. The reversal of 2017972 is 2797102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2017972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22888 + ... + 22975.

It is an arithmetic number, because the mean of its divisors is an integer number (321048).

2^2017972 is an apocalyptic number.

2017972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2017972 is a deficient number, since it is larger than the sum of its proper divisors (1834604).

2017972 is a wasteful number, since it uses less digits than its factorization.

2017972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45878 (or 45876 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 2017972 is about 1420.5534132865. The cubic root of 2017972 is about 126.3683685470.

The spelling of 2017972 in words is "two million, seventeen thousand, nine hundred seventy-two".