814356 has 18 divisors (see below), whose sum is σ = 2058602. Its totient is φ = 271440.

The previous prime is 814337. The next prime is 814367. The reversal of 814356 is 653418.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 4356 = 900^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11275 + ... + 11346.

2⁸¹⁴³⁵⁶ is an apocalyptic number.

It is an amenable number.

814356 is an abundant number, since it is smaller than the sum of its proper divisors (1244246).

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

814356 is a wasteful number, since it uses less digits than its factorization.

814356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22631 (or 22626 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 814356 is about 902.4167551636. The cubic root of 814356 is about 93.3837765872.

It can be divided in two parts, 81 and 4356, that multiplied together give a square (352836 = 594²).

The spelling of 814356 in words is "eight hundred fourteen thousand, three hundred fifty-six".