1057965 has 16 divisors (see below), whose sum is σ = 1705536. Its totient is φ = 560000.

The previous prime is 1057963. The next prime is 1057981. The reversal of 1057965 is 5697501.

It is not a de Polignac number, because 1057965 - 2¹ = 1057963 is a prime.

It is a super-2 number, since 2×1057965² = 2238579882450, which contains 22 as substring.

1057965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3625 + ... + 3905.

It is an arithmetic number, because the mean of its divisors is an integer number (106596).

2^1057965 is an apocalyptic number.

1057965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057965 is a deficient number, since it is larger than the sum of its proper divisors (647571).

1057965 is a wasteful number, since it uses less digits than its factorization.

1057965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540.

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 1057965 is about 1028.5742559485. The cubic root of 1057965 is about 101.8959916345.

It can be divided in two parts, 10 and 57965, that added together give a palindrome (57975).

The spelling of 1057965 in words is "one million, fifty-seven thousand, nine hundred sixty-five".