3972753 has 8 divisors (see below), whose sum is σ = 5885600. Its totient is φ = 2648484.

The previous prime is 3972751. The next prime is 3972757. The reversal of 3972753 is 3572793.

It is a happy number.

It is not a de Polignac number, because 3972753 - 2¹ = 3972751 is a prime.

It is a Duffinian number.

3972753 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3972751) 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, 73543 + ... + 73596.

It is an arithmetic number, because the mean of its divisors is an integer number (735700).

Almost surely, 2^3972753 is an apocalyptic number.

It is an amenable number.

3972753 is a deficient number, since it is larger than the sum of its proper divisors (1912847).

3972753 is a wasteful number, since it uses less digits than its factorization.

3972753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147148 (or 147142 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The square root of 3972753 is about 1993.1766103384. The cubic root of 3972753 is about 158.3788510561.

The spelling of 3972753 in words is "three million, nine hundred seventy-two thousand, seven hundred fifty-three".