3967473 has 16 divisors (see below), whose sum is σ = 5613056. Its totient is φ = 2488320.

The previous prime is 3967451. The next prime is 3967487. The reversal of 3967473 is 3747693.

It is not a de Polignac number, because 3967473 - 2⁵ = 3967441 is a prime.

It is a Duffinian number.

3967473 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3967493) 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, 2865 + ... + 4017.

It is an arithmetic number, because the mean of its divisors is an integer number (350816).

Almost surely, 2^3967473 is an apocalyptic number.

It is an amenable number.

3967473 is a deficient number, since it is larger than the sum of its proper divisors (1645583).

3967473 is a wasteful number, since it uses less digits than its factorization.

3967473 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224.

The product of its digits is 95256, while the sum is 39.

The square root of 3967473 is about 1991.8516511026. The cubic root of 3967473 is about 158.3086553105.

The spelling of 3967473 in words is "three million, nine hundred sixty-seven thousand, four hundred seventy-three".