385641 has 21 divisors (see below), whose sum is σ = 604429. Its totient is φ = 245916.

The previous prime is 385639. The next prime is 385657. The reversal of 385641 is 146583.

The square root of 385641 is 621.

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

It is not a de Polignac number, because 385641 - 2¹ = 385639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

Its product of digits (2880) is a multiple of the sum of its prime factors (64).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (385621) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 16756 + ... + 16778.

385641 is a Friedman number, since it can be written as (5^(3+1)-4)^(8-6), using all its digits and the basic arithmetic operations.

2³⁸⁵⁶⁴¹ is an apocalyptic number.

385641 is the 621-st square number.

385641 is the 311-st centered octagonal number.

It is an amenable number.

385641 is a deficient number, since it is larger than the sum of its proper divisors (218788).

385641 is an frugal number, since it uses more digits than its factorization.

385641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 26 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The cubic root of 385641 is about 72.7882145918.

Adding to 385641 its product of digits (2880), we get a triangular number (388521 = T₈₈₁).

The spelling of 385641 in words is "three hundred eighty-five thousand, six hundred forty-one".