385947765 has 72 divisors (see below), whose sum is σ = 786355128. Its totient is φ = 174585600.

The previous prime is 385947761. The next prime is 385947767. The reversal of 385947765 is 567749583.

It can be written as a sum of positive squares in 4 ways, for example, as 118330884 + 267616881 = 10878^2 + 16359^2 .

It is not a de Polignac number, because 385947765 - 2² = 385947761 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385947761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 221839 + ... + 223571.

It is an arithmetic number, because the mean of its divisors is an integer number (10921599).

Almost surely, 2^385947765 is an apocalyptic number.

385947765 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

385947765 is an abundant number, since it is smaller than the sum of its proper divisors (400407363).

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

385947765 is a wasteful number, since it uses less digits than its factorization.

385947765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1849 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 385947765 is about 19645.5533136636. The cubic root of 385947765 is about 728.0750970361.

The spelling of 385947765 in words is "three hundred eighty-five million, nine hundred forty-seven thousand, seven hundred sixty-five".