1053633 has 16 divisors (see below), whose sum is σ = 1622016. Its totient is φ = 595920.

The previous prime is 1053617. The next prime is 1053691. The reversal of 1053633 is 3363501.

It is not a de Polignac number, because 1053633 - 2⁴ = 1053617 is a prime.

It is a super-2 number, since 2×1053633² = 2220284997378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

1053633 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053233) 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 15 ways as a sum of consecutive naturals, for example, 2560 + ... + 2942.

It is an arithmetic number, because the mean of its divisors is an integer number (101376).

2^1053633 is an apocalyptic number.

It is an amenable number.

1053633 is a deficient number, since it is larger than the sum of its proper divisors (568383).

1053633 is a wasteful number, since it uses less digits than its factorization.

1053633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 1053633 is about 1026.4662683206. The cubic root of 1053633 is about 101.7567251218.

The spelling of 1053633 in words is "one million, fifty-three thousand, six hundred thirty-three".