75825903 has 16 divisors (see below), whose sum is σ = 107886080. Its totient is φ = 47231424.

The previous prime is 75825853. The next prime is 75825949. The reversal of 75825903 is 30952857.

It is not a de Polignac number, because 75825903 - 2⁹ = 75825391 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75825983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4951 + ... + 13272.

It is an arithmetic number, because the mean of its divisors is an integer number (6742880).

Almost surely, 2^75825903 is an apocalyptic number.

75825903 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

75825903 is a deficient number, since it is larger than the sum of its proper divisors (32060177).

75825903 is a wasteful number, since it uses less digits than its factorization.

75825903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18318.

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 75825903 is about 8707.8070143981. The cubic root of 75825903 is about 423.2586707078.

The spelling of 75825903 in words is "seventy-five million, eight hundred twenty-five thousand, nine hundred three".