339516 has 18 divisors (see below), whose sum is σ = 858312. Its totient is φ = 113160.

The previous prime is 339491. The next prime is 339517. The reversal of 339516 is 615933.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×339516² = 230542228512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 339516.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 339516.

It is not an unprimeable number, because it can be changed into a prime (339517) by changing a digit.

339516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4680 + ... + 4751.

It is an arithmetic number, because the mean of its divisors is an integer number (47684).

2³³⁹⁵¹⁶ is an apocalyptic number.

339516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

339516 is an abundant number, since it is smaller than the sum of its proper divisors (518796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

339516 is a wasteful number, since it uses less digits than its factorization.

339516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9441 (or 9436 counting only the distinct ones).

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

The square root of 339516 is about 582.6800151026. The cubic root of 339516 is about 69.7621861777.

It can be divided in two parts, 33 and 9516, that multiplied together give a triangular number (314028 = T₇₉₂).

The spelling of 339516 in words is "three hundred thirty-nine thousand, five hundred sixteen".