385606167 has 8 divisors (see below), whose sum is σ = 515130480. Its totient is φ = 256576320.

The previous prime is 385606153. The next prime is 385606181. The reversal of 385606167 is 761606583.

It is an interprime number because it is at equal distance from previous prime (385606153) and next prime (385606181).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 385606167 - 2¹⁴ = 385589783 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385606187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121792 + ... + 124917.

It is an arithmetic number, because the mean of its divisors is an integer number (64391310).

Almost surely, 2^385606167 is an apocalyptic number.

385606167 is a deficient number, since it is larger than the sum of its proper divisors (129524313).

385606167 is a wasteful number, since it uses less digits than its factorization.

385606167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247233.

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 385606167 is about 19636.8573605860. The cubic root of 385606167 is about 727.8602299546.

The spelling of 385606167 in words is "three hundred eighty-five million, six hundred six thousand, one hundred sixty-seven".