342561 has 8 divisors (see below), whose sum is σ = 462240. Its totient is φ = 225632.

The previous prime is 342553. The next prime is 342569. The reversal of 342561 is 165243.

It is a happy number.

342561 is nontrivially palindromic in base 13.

342561 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (342553) and next prime (342569).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 342561 - 2³ = 342553 is a prime.

It is a d-powerful number, because it can be written as 3³ + 4⁹ + 5⁷ + 2¹¹ + 6³ + 1 .

342561 is an undulating number in base 13.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 342561.

It is not an unprimeable number, because it can be changed into a prime (342569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375 + ... + 908.

It is an arithmetic number, because the mean of its divisors is an integer number (57780).

2³⁴²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

342561 is a deficient number, since it is larger than the sum of its proper divisors (119679).

342561 is a wasteful number, since it uses less digits than its factorization.

342561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375.

The product of its digits is 720, while the sum is 21.

The square root of 342561 is about 585.2871090328. The cubic root of 342561 is about 69.9701233046.

It can be divided in two parts, 3425 and 61, that added together give a triangular number (3486 = T₈₃).

The spelling of 342561 in words is "three hundred forty-two thousand, five hundred sixty-one".