617876991 has 40 divisors (see below), whose sum is σ = 979101024. Its totient is φ = 387478080.

The previous prime is 617876977. The next prime is 617876999. The reversal of 617876991 is 199678716.

It is not a de Polignac number, because 617876991 - 2⁶ = 617876927 is a prime.

It is a super-3 number, since 3×617876991³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617876999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110925 + ... + 116361.

Almost surely, 2^617876991 is an apocalyptic number.

617876991 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

617876991 is a deficient number, since it is larger than the sum of its proper divisors (361224033).

617876991 is a wasteful number, since it uses less digits than its factorization.

617876991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533 (or 5524 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 617876991 is about 24857.1315923620. The cubic root of 617876991 is about 851.7275090709.

The spelling of 617876991 in words is "six hundred seventeen million, eight hundred seventy-six thousand, nine hundred ninety-one".