385062129 has 27 divisors (see below), whose sum is σ = 577458297. Its totient is φ = 247249800.

The previous prime is 385062127. The next prime is 385062133. The reversal of 385062129 is 921260583.

The square root of 385062129 is 19623.

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

385062129 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 621 + 29 = 666.

It is not a de Polignac number, because 385062129 - 2¹ = 385062127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 385062093 and 385062102.

It is not an unprimeable number, because it can be changed into a prime (385062127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1824834 + ... + 1825044.

Almost surely, 2^385062129 is an apocalyptic number.

385062129 is the 19623-rd square number.

385062129 is the 9812-nd centered octagonal number.

It is an amenable number.

385062129 is a deficient number, since it is larger than the sum of its proper divisors (192396168).

385062129 is an equidigital number, since it uses as much as digits as its factorization.

385062129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 385062129 is about 727.5177648264.

Multiplying 385062129 by its sum of digits (36), we get a square (13862236644 = 117738²).

The spelling of 385062129 in words is "three hundred eighty-five million, sixty-two thousand, one hundred twenty-nine".