813414 has 32 divisors (see below), whose sum is σ = 1886976. Its totient is φ = 228960.

The previous prime is 813401. The next prime is 813419. The reversal of 813414 is 414318.

813414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813419) by changing a digit.

813414 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 15 ways as a sum of consecutive naturals, for example, 4404 + ... + 4584.

It is an arithmetic number, because the mean of its divisors is an integer number (58968).

2⁸¹³⁴¹⁴ is an apocalyptic number.

813414 is an abundant number, since it is smaller than the sum of its proper divisors (1073562).

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

813414 is a wasteful number, since it uses less digits than its factorization.

813414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300.

The product of its digits is 384, while the sum is 21.

The square root of 813414 is about 901.8946723426. The cubic root of 813414 is about 93.3477557078.

The spelling of 813414 in words is "eight hundred thirteen thousand, four hundred fourteen".