617967 has 24 divisors (see below), whose sum is σ = 1082016. Its totient is φ = 331776.

The previous prime is 617963. The next prime is 617971. The reversal of 617967 is 769716.

It is an interprime number because it is at equal distance from previous prime (617963) and next prime (617971).

It is not a de Polignac number, because 617967 - 2² = 617963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783 + ... + 1359.

It is an arithmetic number, because the mean of its divisors is an integer number (45084).

2⁶¹⁷⁹⁶⁷ is an apocalyptic number.

617967 is a deficient number, since it is larger than the sum of its proper divisors (464049).

617967 is a wasteful number, since it uses less digits than its factorization.

617967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 604 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 617967 is about 786.1087710998. The cubic root of 617967 is about 85.1768865425.

The spelling of 617967 in words is "six hundred seventeen thousand, nine hundred sixty-seven".