338461 has 2 divisors, whose sum is σ = 338462. Its totient is φ = 338460.

The previous prime is 338449. The next prime is 338473. The reversal of 338461 is 164833.

It is a balanced prime because it is at equal distance from previous prime (338449) and next prime (338473).

It can be written as a sum of positive squares in only one way, i.e., 337561 + 900 = 581^2 + 30^2 .

It is a cyclic number.

It is not a de Polignac number, because 338461 - 2⁹ = 337949 is a prime.

It is a super-2 number, since 2×338461² = 229111697042, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (338411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169230 + 169231.

It is an arithmetic number, because the mean of its divisors is an integer number (169231).

2³³⁸⁴⁶¹ is an apocalyptic number.

It is an amenable number.

338461 is a deficient number, since it is larger than the sum of its proper divisors (1).

338461 is an equidigital number, since it uses as much as digits as its factorization.

338461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 25.

The square root of 338461 is about 581.7740111074. The cubic root of 338461 is about 69.6898523541.

The spelling of 338461 in words is "three hundred thirty-eight thousand, four hundred sixty-one".