1057635 has 24 divisors (see below), whose sum is σ = 1931280. Its totient is φ = 533952.

The previous prime is 1057633. The next prime is 1057643. The reversal of 1057635 is 5367501.

It is not a de Polignac number, because 1057635 - 2¹ = 1057633 is a prime.

It is a super-2 number, since 2×1057635² = 2237183586450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057599 and 1057608.

It is not an unprimeable number, because it can be changed into a prime (1057631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237 + ... + 1473.

It is an arithmetic number, because the mean of its divisors is an integer number (80470).

2^1057635 is an apocalyptic number.

1057635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1057635 is a deficient number, since it is larger than the sum of its proper divisors (873645).

1057635 is a wasteful number, since it uses less digits than its factorization.

1057635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 1057635 is about 1028.4138272116. The cubic root of 1057635 is about 101.8853960811.

The spelling of 1057635 in words is "one million, fifty-seven thousand, six hundred thirty-five".