4157505 has 48 divisors (see below), whose sum is σ = 8109504. Its totient is φ = 1952640.

The previous prime is 4157501. The next prime is 4157509. The reversal of 4157505 is 5057514.

4157505 is a `hidden beast` number, since 4 + 157 + 505 = 666.

4157505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4157501) and next prime (4157509).

It is not a de Polignac number, because 4157505 - 2² = 4157501 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4157501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18202 + ... + 18428.

It is an arithmetic number, because the mean of its divisors is an integer number (168948).

Almost surely, 2^4157505 is an apocalyptic number.

4157505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4157505 is the 1665-th pentagonal number.

It is an amenable number.

4157505 is a deficient number, since it is larger than the sum of its proper divisors (3951999).

4157505 is a wasteful number, since it uses less digits than its factorization.

4157505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 4157505 is about 2038.9960765043. The cubic root of 4157505 is about 160.7968709943.

Subtracting 4157505 from its reverse (5057514), we obtain a palindrome (900009).

The spelling of 4157505 in words is "four million, one hundred fifty-seven thousand, five hundred five".