1005629 has 6 divisors (see below), whose sum is σ = 1051806. Its totient is φ = 961400.

The previous prime is 1005619. The next prime is 1005637. The reversal of 1005629 is 9265001.

1005629 = 7² + 8² + ... + 144².

It can be written as a sum of positive squares in only one way, i.e., 648025 + 357604 = 805^2 + 598^2 .

It is not a de Polignac number, because 1005629 - 2⁸ = 1005373 is a prime.

It is a super-2 number, since 2×1005629² = 2022579371282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005619) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 422 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (175301).

2^1005629 is an apocalyptic number.

It is an amenable number.

1005629 is a deficient number, since it is larger than the sum of its proper divisors (46177).

1005629 is an equidigital number, since it uses as much as digits as its factorization.

1005629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1005629 is about 1002.8105504032. The cubic root of 1005629 is about 100.1872823675.

The spelling of 1005629 in words is "one million, five thousand, six hundred twenty-nine".