301842 has 24 divisors (see below), whose sum is σ = 671580. Its totient is φ = 97920.

The previous prime is 301841. The next prime is 301843. The reversal of 301842 is 248103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (301841) and next prime (301843).

It can be written as a sum of positive squares in 2 ways, for example, as 301401 + 441 = 549^2 + 21^2 .

It is a super-2 number, since 2×301842² = 182217185928, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 301842.

It is not an unprimeable number, because it can be changed into a prime (301841) 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, 534 + ... + 942.

2³⁰¹⁸⁴² is an apocalyptic number.

301842 is an abundant number, since it is smaller than the sum of its proper divisors (369738).

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

301842 is a wasteful number, since it uses less digits than its factorization.

301842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 455 counting only the distinct ones).

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

The square root of 301842 is about 549.4014925353. The cubic root of 301842 is about 67.0800261562.

Adding to 301842 its reverse (248103), we get a palindrome (549945).

It can be divided in two parts, 3018 and 42, that multiplied together give a triangular number (126756 = T₅₀₃).

The spelling of 301842 in words is "three hundred one thousand, eight hundred forty-two".