437967 has 10 divisors (see below), whose sum is σ = 654368. Its totient is φ = 291924.

The previous prime is 437959. The next prime is 437977. The reversal of 437967 is 769734.

It is not a de Polignac number, because 437967 - 2³ = 437959 is a prime.

It is a Duffinian number.

437967 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (437947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2623 + ... + 2784.

2⁴³⁷⁹⁶⁷ is an apocalyptic number.

437967 is a deficient number, since it is larger than the sum of its proper divisors (216401).

437967 is an equidigital number, since it uses as much as digits as its factorization.

437967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419 (or 5410 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 437967 is about 661.7907524286. The cubic root of 437967 is about 75.9417258737.

The spelling of 437967 in words is "four hundred thirty-seven thousand, nine hundred sixty-seven".