437561 has 4 divisors (see below), whose sum is σ = 438900. Its totient is φ = 436224.

The previous prime is 437557. The next prime is 437587. The reversal of 437561 is 165734.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 118336 + 319225 = 344^2 + 565^2 .

It is a cyclic number.

It is not a de Polignac number, because 437561 - 2² = 437557 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 437561.

It is not an unprimeable number, because it can be changed into a prime (437501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (109725).

2⁴³⁷⁵⁶¹ is an apocalyptic number.

It is an amenable number.

437561 is a deficient number, since it is larger than the sum of its proper divisors (1339).

437561 is an equidigital number, since it uses as much as digits as its factorization.

437561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338.

The product of its digits is 2520, while the sum is 26.

The square root of 437561 is about 661.4839378246. The cubic root of 437561 is about 75.9182523601.

The spelling of 437561 in words is "four hundred thirty-seven thousand, five hundred sixty-one".