829375409 has 2 divisors, whose sum is σ = 829375410. Its totient is φ = 829375408.

The previous prime is 829375399. The next prime is 829375427. The reversal of 829375409 is 904573928.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 563587600 + 265787809 = 23740^2 + 16303^2 .

It is a cyclic number.

It is not a de Polignac number, because 829375409 - 2¹² = 829371313 is a prime.

It is not a weakly prime, because it can be changed into another prime (829375439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414687704 + 414687705.

It is an arithmetic number, because the mean of its divisors is an integer number (414687705).

Almost surely, 2^829375409 is an apocalyptic number.

It is an amenable number.

829375409 is a deficient number, since it is larger than the sum of its proper divisors (1).

829375409 is an equidigital number, since it uses as much as digits as its factorization.

829375409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 829375409 is about 28798.8786066402. The cubic root of 829375409 is about 939.5438442413.

The spelling of 829375409 in words is "eight hundred twenty-nine million, three hundred seventy-five thousand, four hundred nine".