3973761 has 36 divisors (see below), whose sum is σ = 6535620. Its totient is φ = 2323200.

The previous prime is 3973757. The next prime is 3973787. The reversal of 3973761 is 1673793.

It can be written as a sum of positive squares in 2 ways, for example, as 435600 + 3538161 = 660^2 + 1881^2 .

It is not a de Polignac number, because 3973761 - 2² = 3973757 is a prime.

3973761 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3973741) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44605 + ... + 44693.

It is an arithmetic number, because the mean of its divisors is an integer number (181545).

Almost surely, 2^3973761 is an apocalyptic number.

It is an amenable number.

3973761 is a deficient number, since it is larger than the sum of its proper divisors (2561859).

3973761 is a wasteful number, since it uses less digits than its factorization.

3973761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its digits is 23814, while the sum is 36.

The square root of 3973761 is about 1993.4294569911. The cubic root of 3973761 is about 158.3922449907.

Subtracting from 3973761 its reverse (1673793), we obtain a cube (2299968 = 132³).

The spelling of 3973761 in words is "three million, nine hundred seventy-three thousand, seven hundred sixty-one".