180342 has 24 divisors (see below), whose sum is σ = 401544. Its totient is φ = 58464.

The previous prime is 180337. The next prime is 180347. The reversal of 180342 is 243081.

It is a happy number.

180342 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (180337) and next prime (180347).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 180342.

It is not an unprimeable number, because it can be changed into a prime (180347) by changing a digit.

180342 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 11 ways as a sum of consecutive naturals, for example, 658 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (16731).

2¹⁸⁰³⁴² is an apocalyptic number.

180342 is an abundant number, since it is smaller than the sum of its proper divisors (221202).

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

180342 is a wasteful number, since it uses less digits than its factorization.

180342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 180342 is about 424.6669283097. Note that the first 3 decimals coincide. The cubic root of 180342 is about 56.4978984782.

The spelling of 180342 in words is "one hundred eighty thousand, three hundred forty-two".