387263041 has 9 divisors (see below), whose sum is σ = 425907363. Its totient is φ = 351860520.

The previous prime is 387263027. The next prime is 387263047. The reversal of 387263041 is 140362783.

It is a happy number.

The square root of 387263041 is 19679.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 365918641 + 21344400 = 19129^2 + 4620^2 .

It is not a de Polignac number, because 387263041 - 2⁹ = 387262529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 387262988 and 387263006.

It is not an unprimeable number, because it can be changed into a prime (387263047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 215575 + ... + 217363.

Almost surely, 2^387263041 is an apocalyptic number.

387263041 is the 19679-th square number.

387263041 is the 9840-th centered octagonal number.

It is an amenable number.

387263041 is a deficient number, since it is larger than the sum of its proper divisors (38644322).

387263041 is an frugal number, since it uses more digits than its factorization.

387263041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The cubic root of 387263041 is about 728.9012312224.

The spelling of 387263041 in words is "three hundred eighty-seven million, two hundred sixty-three thousand, forty-one".