1057905 has 12 divisors (see below), whose sum is σ = 1833780. Its totient is φ = 564192.

The previous prime is 1057897. The next prime is 1057907. The reversal of 1057905 is 5097501.

It can be written as a sum of positive squares in 2 ways, for example, as 788544 + 269361 = 888^2 + 519^2 .

It is not a de Polignac number, because 1057905 - 2³ = 1057897 is a prime.

It is a super-2 number, since 2×1057905² = 2238325978050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1057907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11710 + ... + 11799.

It is an arithmetic number, because the mean of its divisors is an integer number (152815).

2^1057905 is an apocalyptic number.

1057905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057905 is a deficient number, since it is larger than the sum of its proper divisors (775875).

1057905 is a wasteful number, since it uses less digits than its factorization.

1057905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23520 (or 23517 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 1057905 is about 1028.5450889485. The cubic root of 1057905 is about 101.8940653342.

The spelling of 1057905 in words is "one million, fifty-seven thousand, nine hundred five".