437 has 4 divisors (see below), whose sum is σ = 480. Its totient is φ = 396.

The previous prime is 433. The next prime is 439. The reversal of 437 is 734.

437 is nontrivially palindromic in base 9.

437 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 734 = 2 ⋅367.

It is a cyclic number.

It is not a de Polignac number, because 437 - 2^{2} = 433 is a prime.

It is a Duffinian number.

437 is an undulating number in base 9.

Its product of digits (84) is a multiple of the sum of its prime divisors (42).

It is a plaindrome in base 11, base 13 and base 14.

It is a nialpdrome in base 5 and base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 30.

It is an arithmetic number, because the mean of its divisors is an integer number (120).

It is an amenable number.

437 is a deficient number, since it is larger than the sum of its proper divisors (43).

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

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

The sum of its prime factors is 42.

The product of its digits is 84, while the sum is 14.

The square root of 437 is about 20.9045449604. The cubic root of 437 is about 7.5885793378.

Subtracting from 437 its product of digits (84), we obtain a palindrome (353).

The spelling of 437 in words is "four hundred thirty-seven", and thus it is an aban number.

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