905057 has 8 divisors (see below), whose sum is σ = 947112. Its totient is φ = 864000.

The previous prime is 905053. The next prime is 905059. The reversal of 905057 is 750509.

It can be written as a sum of positive squares in 4 ways, for example, as 341056 + 564001 = 584^2 + 751^2 .

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 905057 - 2² = 905053 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 905057.

It is not an unprimeable number, because it can be changed into a prime (905053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2057 + ... + 2457.

It is an arithmetic number, because the mean of its divisors is an integer number (118389).

2⁹⁰⁵⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

905057 is a deficient number, since it is larger than the sum of its proper divisors (42055).

905057 is a wasteful number, since it uses less digits than its factorization.

905057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499.

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 905057 is about 951.3448375852. The cubic root of 905057 is about 96.7294334070.

The spelling of 905057 in words is "nine hundred five thousand, fifty-seven".