4097967 has 8 divisors (see below), whose sum is σ = 5533440. Its totient is φ = 2697240.

The previous prime is 4097957. The next prime is 4097981. The reversal of 4097967 is 7697904.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4097967 - 2¹² = 4093871 is a prime.

4097967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097917) 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, 8409 + ... + 8882.

It is an arithmetic number, because the mean of its divisors is an integer number (691680).

Almost surely, 2^4097967 is an apocalyptic number.

4097967 is a deficient number, since it is larger than the sum of its proper divisors (1435473).

4097967 is a wasteful number, since it uses less digits than its factorization.

4097967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17373.

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 4097967 is about 2024.3435973174. The cubic root of 4097967 is about 160.0256078804.

The spelling of 4097967 in words is "four million, ninety-seven thousand, nine hundred sixty-seven".