365842129 has 9 divisors (see below), whose sum is σ = 378637851. Its totient is φ = 353466960.

The previous prime is 365842123. The next prime is 365842153. The reversal of 365842129 is 921248563.

The square root of 365842129 is 19127.

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

It can be written as a sum of positive squares in only one way, i.e., 10595025 + 355247104 = 3255^2 + 18848^2 .

It is not a de Polignac number, because 365842129 - 2¹¹ = 365840081 is a prime.

It is a Duffinian number.

Its product of digits (103680) is a multiple of the sum of its prime divisors (648).

It is a junction number, because it is equal to n+sod(n) for n = 365842091 and 365842100.

It is not an unprimeable number, because it can be changed into a prime (365842123) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 592629 + ... + 593245.

Almost surely, 2^365842129 is an apocalyptic number.

365842129 is the 19127-th square number.

365842129 is the 9564-th centered octagonal number.

It is an amenable number.

365842129 is a deficient number, since it is larger than the sum of its proper divisors (12795722).

365842129 is an frugal number, since it uses more digits than its factorization.

365842129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 648 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The cubic root of 365842129 is about 715.2061472188.

The spelling of 365842129 in words is "three hundred sixty-five million, eight hundred forty-two thousand, one hundred twenty-nine".