4097972 has 12 divisors (see below), whose sum is σ = 7365540. Its totient is φ = 1993536.

The previous prime is 4097957. The next prime is 4097981. The reversal of 4097972 is 2797904.

Added to its reverse (2797904) it gives a square (6895876 = 2626²).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1948816 + 2149156 = 1396^2 + 1466^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13697 + ... + 13992.

It is an arithmetic number, because the mean of its divisors is an integer number (613795).

Almost surely, 2^4097972 is an apocalyptic number.

It is an amenable number.

4097972 is a deficient number, since it is larger than the sum of its proper divisors (3267568).

4097972 is a wasteful number, since it uses less digits than its factorization.

4097972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27730 (or 27728 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 4097972 is about 2024.3448322853. The cubic root of 4097972 is about 160.0256729637.

Adding to 4097972 its reverse (2797904), we get a square (6895876 = 2626²).

The spelling of 4097972 in words is "four million, ninety-seven thousand, nine hundred seventy-two".