261966117 has 16 divisors (see below), whose sum is σ = 399486080. Its totient is φ = 149582592.

The previous prime is 261966101. The next prime is 261966119. The reversal of 261966117 is 711669162.

It is not a de Polignac number, because 261966117 - 2⁴ = 261966101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261966119) 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, 29913 + ... + 37665.

It is an arithmetic number, because the mean of its divisors is an integer number (24967880).

Almost surely, 2^261966117 is an apocalyptic number.

It is an amenable number.

261966117 is a deficient number, since it is larger than the sum of its proper divisors (137519963).

261966117 is a wasteful number, since it uses less digits than its factorization.

261966117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9372.

The product of its digits is 27216, while the sum is 39.

The square root of 261966117 is about 16185.3673730317. The cubic root of 261966117 is about 639.8552056881.

The spelling of 261966117 in words is "two hundred sixty-one million, nine hundred sixty-six thousand, one hundred seventeen".