2627972 has 6 divisors (see below), whose sum is σ = 4598958. Its totient is φ = 1313984.

The previous prime is 2627971. The next prime is 2627981. The reversal of 2627972 is 2797262.

It can be written as a sum of positive squares in only one way, i.e., 2383936 + 244036 = 1544^2 + 494^2 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2627971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328493 + ... + 328500.

It is an arithmetic number, because the mean of its divisors is an integer number (766493).

2^2627972 is an apocalyptic number.

It is an amenable number.

2627972 is a deficient number, since it is larger than the sum of its proper divisors (1970986).

2627972 is a wasteful number, since it uses less digits than its factorization.

2627972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656997 (or 656995 counting only the distinct ones).

The product of its digits is 21168, while the sum is 35.

The square root of 2627972 is about 1621.1020942556. The cubic root of 2627972 is about 137.9982496452.

The spelling of 2627972 in words is "two million, six hundred twenty-seven thousand, nine hundred seventy-two".