761161167 has 24 divisors (see below), whose sum is σ = 1190262528. Its totient is φ = 465940800.

The previous prime is 761161157. The next prime is 761161171.

761161167 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 761161167 - 2¹² = 761157071 is a prime.

It is a super-3 number, since 3×761161167³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761161157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5317 + ... + 39377.

It is an arithmetic number, because the mean of its divisors is an integer number (49594272).

Almost surely, 2^761161167 is an apocalyptic number.

761161167 is a deficient number, since it is larger than the sum of its proper divisors (429101361).

761161167 is a wasteful number, since it uses less digits than its factorization.

761161167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34271 (or 34268 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The square root of 761161167 is about 27589.1494432141. The cubic root of 761161167 is about 913.0450530351.

The spelling of 761161167 in words is "seven hundred sixty-one million, one hundred sixty-one thousand, one hundred sixty-seven".