617131 has 2 divisors, whose sum is σ = 617132. Its totient is φ = 617130.

The previous prime is 617129. The next prime is 617147. The reversal of 617131 is 131716.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 617131 - 2¹ = 617129 is a prime.

It is a super-2 number, since 2×617131² = 761701342322, which contains 22 as substring.

Together with 617129, it forms a pair of twin primes.

617131 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 617099 and 617108.

It is not a weakly prime, because it can be changed into another prime (617161) 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 as a sum of consecutive naturals, namely, 308565 + 308566.

It is an arithmetic number, because the mean of its divisors is an integer number (308566).

2⁶¹⁷¹³¹ is an apocalyptic number.

617131 is a deficient number, since it is larger than the sum of its proper divisors (1).

617131 is an equidigital number, since it uses as much as digits as its factorization.

617131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 19.

The square root of 617131 is about 785.5768581113. The cubic root of 617131 is about 85.1384594572.

Adding to 617131 its reverse (131716), we get a palindrome (748847).

The spelling of 617131 in words is "six hundred seventeen thousand, one hundred thirty-one".