1653794772 has 96 divisors (see below), whose sum is σ = 4543875840. Its totient is φ = 458265600.

The previous prime is 1653794771. The next prime is 1653794773. The reversal of 1653794772 is 2774973561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1653794771) and next prime (1653794773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1653794771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270522 + ... + 1271822.

It is an arithmetic number, because the mean of its divisors is an integer number (47332040).

Almost surely, 2^1653794772 is an apocalyptic number.

1653794772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1653794772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271937920).

1653794772 is an abundant number, since it is smaller than the sum of its proper divisors (2890081068).

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

1653794772 is a wasteful number, since it uses less digits than its factorization.

1653794772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1759 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 51.

The square root of 1653794772 is about 40666.8756114851. The cubic root of 1653794772 is about 1182.5709461938.

The spelling of 1653794772 in words is "one billion, six hundred fifty-three million, seven hundred ninety-four thousand, seven hundred seventy-two".