814474521 has 63 divisors (see below), whose sum is σ = 1429994853. Its totient is φ = 462331800.

The previous prime is 814474519. The next prime is 814474537. The reversal of 814474521 is 125474418.

It is a happy number.

The square root of 814474521 is 28539.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 814474521 - 2¹ = 814474519 is a prime.

It is not an unprimeable number, because it can be changed into a prime (814474561) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5393796 + ... + 5393946.

It is an arithmetic number, because the mean of its divisors is an integer number (22698331).

Almost surely, 2^814474521 is an apocalyptic number.

814474521 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

814474521 is the 28539-th square number.

814474521 is the 14270-th centered octagonal number.

It is an amenable number.

814474521 is a deficient number, since it is larger than the sum of its proper divisors (615520332).

814474521 is an frugal number, since it uses more digits than its factorization.

814474521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 161 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The cubic root of 814474521 is about 933.8830671152.

Multiplying 814474521 by its sum of digits (36), we get a square (29321082756 = 171234²).

The spelling of 814474521 in words is "eight hundred fourteen million, four hundred seventy-four thousand, five hundred twenty-one".