617617949 has 16 divisors (see below), whose sum is σ = 686746032. Its totient is φ = 551743488.

The previous prime is 617617927. The next prime is 617617967. The reversal of 617617949 is 949716716.

It can be written as a sum of positive squares in 8 ways, for example, as 101646724 + 515971225 = 10082^2 + 22715^2 .

It is a cyclic number.

It is not a de Polignac number, because 617617949 - 2¹⁶ = 617552413 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 617617897 and 617617906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617617969) 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, 89507 + ... + 96159.

It is an arithmetic number, because the mean of its divisors is an integer number (42921627).

Almost surely, 2^617617949 is an apocalyptic number.

It is an amenable number.

617617949 is a deficient number, since it is larger than the sum of its proper divisors (69128083).

617617949 is a wasteful number, since it uses less digits than its factorization.

617617949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6896.

The product of its digits is 571536, while the sum is 50.

The square root of 617617949 is about 24851.9204288119. The cubic root of 617617949 is about 851.6084648594.

The spelling of 617617949 in words is "six hundred seventeen million, six hundred seventeen thousand, nine hundred forty-nine".