1653641 has 16 divisors (see below), whose sum is σ = 1969920. Its totient is φ = 1370880.

The previous prime is 1653623. The next prime is 1653643. The reversal of 1653641 is 1463561.

It is not a de Polignac number, because 1653641 - 2¹⁰ = 1652617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1653641.

It is not an unprimeable number, because it can be changed into a prime (1653643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6800 + ... + 7038.

It is an arithmetic number, because the mean of its divisors is an integer number (123120).

2^1653641 is an apocalyptic number.

1653641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1653641 is a deficient number, since it is larger than the sum of its proper divisors (316279).

1653641 is a wasteful number, since it uses less digits than its factorization.

1653641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304.

The product of its digits is 2160, while the sum is 26.

The square root of 1653641 is about 1285.9397342022. The cubic root of 1653641 is about 118.2534292727.

The spelling of 1653641 in words is "one million, six hundred fifty-three thousand, six hundred forty-one".