385947 has 24 divisors (see below), whose sum is σ = 612560. Its totient is φ = 233280.

The previous prime is 385943. The next prime is 385967. The reversal of 385947 is 749583.

It is not a de Polignac number, because 385947 - 2² = 385943 is a prime.

Its product of digits (30240) is a multiple of the sum of its prime divisors (120).

It is not an unprimeable number, because it can be changed into a prime (385943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6297 + ... + 6357.

385947 is a Friedman number, since it can be written as 9*(35^(7-4)+8), using all its digits and the basic arithmetic operations.

2³⁸⁵⁹⁴⁷ is an apocalyptic number.

385947 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

385947 is a deficient number, since it is larger than the sum of its proper divisors (226613).

385947 is a wasteful number, since it uses less digits than its factorization.

385947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 120 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 385947 is about 621.2463279570. The cubic root of 385947 is about 72.8074615988.

The spelling of 385947 in words is "three hundred eighty-five thousand, nine hundred forty-seven".