1653952 has 28 divisors (see below), whose sum is σ = 3363976. Its totient is φ = 806400.

The previous prime is 1653929. The next prime is 1653959. The reversal of 1653952 is 2593561.

1653952 = 44² + 45² + ... + 171².

It is not an unprimeable number, because it can be changed into a prime (1653959) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2452 + ... + 3052.

It is an arithmetic number, because the mean of its divisors is an integer number (120142).

2^1653952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681988).

1653952 is an abundant number, since it is smaller than the sum of its proper divisors (1710024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1653952 is an equidigital number, since it uses as much as digits as its factorization.

1653952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its digits is 8100, while the sum is 31.

The square root of 1653952 is about 1286.0606517579. The cubic root of 1653952 is about 118.2608421092.

The spelling of 1653952 in words is "one million, six hundred fifty-three thousand, nine hundred fifty-two".