617057 has 10 divisors (see below), whose sum is σ = 722658. Its totient is φ = 526848.

The previous prime is 617053. The next prime is 617059. The reversal of 617057 is 750716.

It can be written as a sum of positive squares in only one way, i.e., 614656 + 2401 = 784^2 + 49^2 .

It is not a de Polignac number, because 617057 - 2² = 617053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617051) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2273 + ... + 2529.

2⁶¹⁷⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

617057 is a deficient number, since it is larger than the sum of its proper divisors (105601).

617057 is an frugal number, since it uses more digits than its factorization.

617057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 617057 is about 785.5297575522. The cubic root of 617057 is about 85.1350563452.

The spelling of 617057 in words is "six hundred seventeen thousand, fifty-seven".