617129 has 2 divisors, whose sum is σ = 617130. Its totient is φ = 617128.

The previous prime is 617119. The next prime is 617131. The reversal of 617129 is 921716.

617129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 597529 + 19600 = 773^2 + 140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-617129 is a prime.

Together with 617131, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 617098 and 617107.

It is not a weakly prime, because it can be changed into another prime (617119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 308564 + 308565.

It is an arithmetic number, because the mean of its divisors is an integer number (308565).

2⁶¹⁷¹²⁹ is an apocalyptic number.

It is an amenable number.

617129 is a deficient number, since it is larger than the sum of its proper divisors (1).

617129 is an equidigital number, since it uses as much as digits as its factorization.

617129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 756, while the sum is 26.

The square root of 617129 is about 785.5755851603. The cubic root of 617129 is about 85.1383674848.

The spelling of 617129 in words is "six hundred seventeen thousand, one hundred twenty-nine".