438761 has 2 divisors, whose sum is σ = 438762. Its totient is φ = 438760.

The previous prime is 438733. The next prime is 438769. The reversal of 438761 is 167834.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 414736 + 24025 = 644^2 + 155^2 .

It is a cyclic number.

It is not a de Polignac number, because 438761 - 2¹⁴ = 422377 is a prime.

It is a super-2 number, since 2×438761² = 385022430242, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 438761.

It is not a weakly prime, because it can be changed into another prime (438769) 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 as a sum of consecutive naturals, namely, 219380 + 219381.

It is an arithmetic number, because the mean of its divisors is an integer number (219381).

2⁴³⁸⁷⁶¹ is an apocalyptic number.

It is an amenable number.

438761 is a deficient number, since it is larger than the sum of its proper divisors (1).

438761 is an equidigital number, since it uses as much as digits as its factorization.

438761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032, while the sum is 29.

The square root of 438761 is about 662.3903682875. The cubic root of 438761 is about 75.9875903099.

The spelling of 438761 in words is "four hundred thirty-eight thousand, seven hundred sixty-one".