3967101 has 24 divisors (see below), whose sum is σ = 6040320. Its totient is φ = 2505600.

The previous prime is 3967087. The next prime is 3967111. The reversal of 3967101 is 1017693.

It is a de Polignac number, because none of the positive numbers 2^k-3967101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16341 + ... + 16581.

It is an arithmetic number, because the mean of its divisors is an integer number (251680).

Almost surely, 2^3967101 is an apocalyptic number.

3967101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3967101 is a deficient number, since it is larger than the sum of its proper divisors (2073219).

3967101 is a wasteful number, since it uses less digits than its factorization.

3967101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 3967101 is about 1991.7582684653. The cubic root of 3967101 is about 158.3037073533.

The spelling of 3967101 in words is "three million, nine hundred sixty-seven thousand, one hundred one".