2145820329 has 15 divisors (see below), whose sum is σ = 3206107597. Its totient is φ = 1430268948.

The previous prime is 2145820301. The next prime is 2145820387. The reversal of 2145820329 is 9230285412.

It is a happy number.

The square root of 2145820329 is 46323.

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

It is not a de Polignac number, because 2145820329 - 2⁹ = 2145819817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2145820293 and 2145820302.

It is not an unprimeable number, because it can be changed into a prime (2145820429) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 414334 + ... + 419480.

Almost surely, 2^2145820329 is an apocalyptic number.

2145820329 is the 46323-rd square number.

2145820329 is the 23162-nd centered octagonal number.

It is an amenable number.

2145820329 is a deficient number, since it is larger than the sum of its proper divisors (1060287268).

2145820329 is an frugal number, since it uses more digits than its factorization.

2145820329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10306 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 2145820329 is about 1289.8259743610.

Multiplying 2145820329 by its sum of digits (36), we get a square (77249531844 = 277938²).

The spelling of 2145820329 in words is "two billion, one hundred forty-five million, eight hundred twenty thousand, three hundred twenty-nine".