3972463 has 16 divisors (see below), whose sum is σ = 4636800. Its totient is φ = 3365280.

The previous prime is 3972439. The next prime is 3972467. The reversal of 3972463 is 3642793.

It is not a de Polignac number, because 3972463 - 2²¹ = 1875311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17233 + ... + 17461.

It is an arithmetic number, because the mean of its divisors is an integer number (289800).

Almost surely, 2^3972463 is an apocalyptic number.

3972463 is a deficient number, since it is larger than the sum of its proper divisors (664337).

3972463 is a wasteful number, since it uses less digits than its factorization.

3972463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342.

The product of its digits is 27216, while the sum is 34.

The square root of 3972463 is about 1993.1038608161. The cubic root of 3972463 is about 158.3749972227.

The spelling of 3972463 in words is "three million, nine hundred seventy-two thousand, four hundred sixty-three".