65257038 has 96 divisors (see below), whose sum is σ = 177914880. Its totient is φ = 16793280.

The previous prime is 65257037. The next prime is 65257051. The reversal of 65257038 is 83075256.

65257038 is a `hidden beast` number, since 6 + 52 + 570 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 65256993 and 65257011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65257037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272923 + ... + 273161.

It is an arithmetic number, because the mean of its divisors is an integer number (1853280).

Almost surely, 2^65257038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65257038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88957440).

65257038 is an abundant number, since it is smaller than the sum of its proper divisors (112657842).

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

65257038 is a wasteful number, since it uses less digits than its factorization.

65257038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 65257038 is about 8078.1828402185. The cubic root of 65257038 is about 402.6018681760.

The spelling of 65257038 in words is "sixty-five million, two hundred fifty-seven thousand, thirty-eight".