385164 has 36 divisors (see below), whose sum is σ = 1049776. Its totient is φ = 118368.

The previous prime is 385159. The next prime is 385171. The reversal of 385164 is 461583.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57 + ... + 879.

2³⁸⁵¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524888).

385164 is an abundant number, since it is smaller than the sum of its proper divisors (664612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

385164 is a wasteful number, since it uses less digits than its factorization.

385164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 841 counting only the distinct ones).

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

The square root of 385164 is about 620.6158231950. The cubic root of 385164 is about 72.7581915883.

The spelling of 385164 in words is "three hundred eighty-five thousand, one hundred sixty-four".