385605129 has 16 divisors (see below), whose sum is σ = 632788352. Its totient is φ = 203395968.

The previous prime is 385605107. The next prime is 385605137. The reversal of 385605129 is 921506583.

It is not a de Polignac number, because 385605129 - 2⁹ = 385604617 is a prime.

It is a super-2 number, since 2×385605129² = 297382631022213282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (385605029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705964 + ... + 706509.

It is an arithmetic number, because the mean of its divisors is an integer number (39549272).

Almost surely, 2^385605129 is an apocalyptic number.

385605129 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

385605129 is a deficient number, since it is larger than the sum of its proper divisors (247183223).

385605129 is a wasteful number, since it uses less digits than its factorization.

385605129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412496.

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 385605129 is about 19636.8309306772. The cubic root of 385605129 is about 727.8595768534.

The spelling of 385605129 in words is "three hundred eighty-five million, six hundred five thousand, one hundred twenty-nine".