66735905 has 8 divisors (see below), whose sum is σ = 82036584. Its totient is φ = 52086400.

The previous prime is 66735887. The next prime is 66735913. The reversal of 66735905 is 50953766.

66735905 = 5776² + 5777².

It can be written as a sum of positive squares in 4 ways, for example, as 1336336 + 65399569 = 1156^2 + 8087^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-66735905 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162566 + ... + 162975.

It is an arithmetic number, because the mean of its divisors is an integer number (10254573).

Almost surely, 2^66735905 is an apocalyptic number.

66735905 is the 5777-th centered square number.

It is an amenable number.

66735905 is a deficient number, since it is larger than the sum of its proper divisors (15300679).

66735905 is a wasteful number, since it uses less digits than its factorization.

66735905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325587.

The product of its (nonzero) digits is 170100, while the sum is 41.

The square root of 66735905 is about 8169.2046736509. The cubic root of 66735905 is about 405.6204583130.

The spelling of 66735905 in words is "sixty-six million, seven hundred thirty-five thousand, nine hundred five".