653978329 has 9 divisors (see below), whose sum is σ = 662921077. Its totient is φ = 645155644.

The previous prime is 653978317. The next prime is 653978341. The reversal of 653978329 is 923879356.

The square root of 653978329 is 25573.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (653978317) and next prime (653978341).

It is not a de Polignac number, because 653978329 - 2²¹ = 651881177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (653978399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2736192 + ... + 2736430.

Almost surely, 2^653978329 is an apocalyptic number.

653978329 is the 25573-rd square number.

653978329 is the 12787-th centered octagonal number.

It is an amenable number.

653978329 is a deficient number, since it is larger than the sum of its proper divisors (8942748).

653978329 is an frugal number, since it uses more digits than its factorization.

653978329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 346 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 52.

The cubic root of 653978329 is about 868.0027859389.

The spelling of 653978329 in words is "six hundred fifty-three million, nine hundred seventy-eight thousand, three hundred twenty-nine".