906825257 has 8 divisors (see below), whose sum is σ = 976819200. Its totient is φ = 836865360.

The previous prime is 906825253. The next prime is 906825259. The reversal of 906825257 is 752528609.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 906825257 - 2² = 906825253 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (906825251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84632 + ... + 94742.

It is an arithmetic number, because the mean of its divisors is an integer number (122102400).

Almost surely, 2^906825257 is an apocalyptic number.

It is an amenable number.

906825257 is a deficient number, since it is larger than the sum of its proper divisors (69993943).

906825257 is a wasteful number, since it uses less digits than its factorization.

906825257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17023.

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 906825257 is about 30113.5394299641. The cubic root of 906825257 is about 967.9238753657.

The spelling of 906825257 in words is "nine hundred six million, eight hundred twenty-five thousand, two hundred fifty-seven".