385953 has 8 divisors (see below), whose sum is σ = 519168. Its totient is φ = 255024.

The previous prime is 385943. The next prime is 385967. The reversal of 385953 is 359583.

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

It is not a de Polignac number, because 385953 - 2¹³ = 377761 is a prime.

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 7 ways as a sum of consecutive naturals, for example, 126 + ... + 887.

It is an arithmetic number, because the mean of its divisors is an integer number (64896).

2³⁸⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

385953 is a deficient number, since it is larger than the sum of its proper divisors (133215).

385953 is a wasteful number, since it uses less digits than its factorization.

385953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143.

The product of its digits is 16200, while the sum is 33.

The square root of 385953 is about 621.2511569406. The cubic root of 385953 is about 72.8078388894.

The spelling of 385953 in words is "three hundred eighty-five thousand, nine hundred fifty-three".