814032 has 30 divisors (see below), whose sum is σ = 2278562. Its totient is φ = 271296.

The previous prime is 814031. The next prime is 814043. The reversal of 814032 is 230418.

It is a happy number.

814032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 767376 + 46656 = 876^2 + 216^2 .

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

It is a plaindrome in base 13.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 813996 and 814014.

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 814032.

It is not an unprimeable number, because it can be changed into a prime (814031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2683 + ... + 2970.

2⁸¹⁴⁰³² is an apocalyptic number.

It is an amenable number.

814032 is an abundant number, since it is smaller than the sum of its proper divisors (1464530).

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

814032 is a wasteful number, since it uses less digits than its factorization.

814032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5658 counting only the distinct ones).

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

The square root of 814032 is about 902.2372193609. The cubic root of 814032 is about 93.3713903757.

The spelling of 814032 in words is "eight hundred fourteen thousand, thirty-two".