385977033 has 24 divisors (see below), whose sum is σ = 603554952. Its totient is φ = 236279808.

The previous prime is 385977029. The next prime is 385977041. The reversal of 385977033 is 330779583.

It can be written as a sum of positive squares in 4 ways, for example, as 2913849 + 383063184 = 1707^2 + 19572^2 .

It is not a de Polignac number, because 385977033 - 2² = 385977029 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 385977033.

It is not an unprimeable number, because it can be changed into a prime (385977023) 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, 14035 + ... + 31127.

It is an arithmetic number, because the mean of its divisors is an integer number (25148123).

Almost surely, 2^385977033 is an apocalyptic number.

It is an amenable number.

385977033 is a deficient number, since it is larger than the sum of its proper divisors (217577919).

385977033 is a wasteful number, since it uses less digits than its factorization.

385977033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17305 (or 17302 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 385977033 is about 19646.2982009334. The cubic root of 385977033 is about 728.0935008766.

The spelling of 385977033 in words is "three hundred eighty-five million, nine hundred seventy-seven thousand, thirty-three".