339561 has 12 divisors (see below), whose sum is σ = 507780. Its totient is φ = 218400.

The previous prime is 339557. The next prime is 339583. The reversal of 339561 is 165933.

It can be written as a sum of positive squares in 2 ways, for example, as 57600 + 281961 = 240^2 + 531^2 .

It is not a de Polignac number, because 339561 - 2² = 339557 is a prime.

It is a Curzon number.

339561 is a lucky number.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 339561.

It is not an unprimeable number, because it can be changed into a prime (339161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (42315).

2³³⁹⁵⁶¹ is an apocalyptic number.

It is an amenable number.

339561 is a deficient number, since it is larger than the sum of its proper divisors (168219).

339561 is a wasteful number, since it uses less digits than its factorization.

339561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1333 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 339561 is about 582.7186284992. The cubic root of 339561 is about 69.7652681726.

It can be divided in two parts, 339 and 561, that added together give a square (900 = 30²).

The spelling of 339561 in words is "three hundred thirty-nine thousand, five hundred sixty-one".