814242 has 48 divisors (see below), whose sum is σ = 1950048. Its totient is φ = 224640.

The previous prime is 814241. The next prime is 814243. The reversal of 814242 is 242418.

It is an interprime number because it is at equal distance from previous prime (814241) and next prime (814243).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 814242.

It is not an unprimeable number, because it can be changed into a prime (814241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11118 + ... + 11190.

It is an arithmetic number, because the mean of its divisors is an integer number (40626).

2⁸¹⁴²⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975024).

814242 is an abundant number, since it is smaller than the sum of its proper divisors (1135806).

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

814242 is a wasteful number, since it uses less digits than its factorization.

814242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 814242 is about 902.3535892321. The cubic root of 814242 is about 93.3794188504.

The spelling of 814242 in words is "eight hundred fourteen thousand, two hundred forty-two".