829377225 has 36 divisors (see below), whose sum is σ = 1540536816. Its totient is φ = 442331280.

The previous prime is 829377203. The next prime is 829377229. The reversal of 829377225 is 522773928.

It is not a de Polignac number, because 829377225 - 2⁶ = 829377161 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (829377229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62187 + ... + 74336.

Almost surely, 2^829377225 is an apocalyptic number.

It is an amenable number.

829377225 is a deficient number, since it is larger than the sum of its proper divisors (711159591).

829377225 is a wasteful number, since it uses less digits than its factorization.

829377225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136548 (or 136531 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 829377225 is about 28798.9101356284. The cubic root of 829377225 is about 939.5445299823.

The spelling of 829377225 in words is "eight hundred twenty-nine million, three hundred seventy-seven thousand, two hundred twenty-five".