387085257 has 32 divisors (see below), whose sum is σ = 653909760. Its totient is φ = 224190720.

The previous prime is 387085133. The next prime is 387085261. The reversal of 387085257 is 752580783.

It is not a de Polignac number, because 387085257 - 2¹⁰ = 387084233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (387085267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26469 + ... + 38402.

It is an arithmetic number, because the mean of its divisors is an integer number (20434680).

Almost surely, 2^387085257 is an apocalyptic number.

It is an amenable number.

387085257 is a deficient number, since it is larger than the sum of its proper divisors (266824503).

387085257 is a wasteful number, since it uses less digits than its factorization.

387085257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64910 (or 64904 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 387085257 is about 19674.4823820094. The cubic root of 387085257 is about 728.7896732734.

The spelling of 387085257 in words is "three hundred eighty-seven million, eighty-five thousand, two hundred fifty-seven".