387893025 has 81 divisors (see below), whose sum is σ = 759835947. Its totient is φ = 189072000.

The previous prime is 387893003. The next prime is 387893027. The reversal of 387893025 is 520398783.

387893025 = 3850² + 3851² + ... + 3875².

The square root of 387893025 is 19695.

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

It can be written as a sum of positive squares in 13 ways, for example, as 173211921 + 214681104 = 13161^2 + 14652^2 .

It is not a de Polignac number, because 387893025 - 2¹⁵ = 387860257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (387893027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3840475 + ... + 3840575.

Almost surely, 2^387893025 is an apocalyptic number.

387893025 is the 19695-th square number.

387893025 is the 9848-th centered octagonal number.

It is an amenable number.

387893025 is a deficient number, since it is larger than the sum of its proper divisors (371942922).

387893025 is a wasteful number, since it uses less digits than its factorization.

387893025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 387893025 is about 729.2962661976.

It can be divided in two parts, 38789 and 3025, that added together give a palindrome (41814).

The spelling of 387893025 in words is "three hundred eighty-seven million, eight hundred ninety-three thousand, twenty-five".