826390009 has 27 divisors (see below), whose sum is σ = 937022637. Its totient is φ = 728563968.

The previous prime is 826390001. The next prime is 826390021. The reversal of 826390009 is 900093628.

The square root of 826390009 is 28747.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1092025 + 825297984 = 1045^2 + 28728^2 .

It is not a de Polignac number, because 826390009 - 2³ = 826390001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 826390009.

It is not an unprimeable number, because it can be changed into a prime (826390001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9285237 + ... + 9285325.

Almost surely, 2^826390009 is an apocalyptic number.

826390009 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

826390009 is the 28747-th square number.

826390009 is the 14374-th centered octagonal number.

It is an amenable number.

826390009 is a deficient number, since it is larger than the sum of its proper divisors (110632628).

826390009 is an equidigital number, since it uses as much as digits as its factorization.

826390009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The cubic root of 826390009 is about 938.4151690120.

The spelling of 826390009 in words is "eight hundred twenty-six million, three hundred ninety thousand, nine".