65048193 has 12 divisors (see below), whose sum is σ = 107381248. Its totient is φ = 37170360.

The previous prime is 65048177. The next prime is 65048197. The reversal of 65048193 is 39184056.

It is not a de Polignac number, because 65048193 - 2⁴ = 65048177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65048197) 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 11 ways as a sum of consecutive naturals, for example, 516193 + ... + 516318.

Almost surely, 2^65048193 is an apocalyptic number.

65048193 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

65048193 is a deficient number, since it is larger than the sum of its proper divisors (42333055).

65048193 is a wasteful number, since it uses less digits than its factorization.

65048193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032524 (or 1032521 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 65048193 is about 8065.2459974882. The cubic root of 65048193 is about 402.1719209702.

The spelling of 65048193 in words is "sixty-five million, forty-eight thousand, one hundred ninety-three".