742617 has 12 divisors (see below), whose sum is σ = 1083940. Its totient is φ = 489888.

The previous prime is 742607. The next prime is 742619. The reversal of 742617 is 716247.

742617 is a `hidden beast` number, since 7 + 42 + 617 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 488601 + 254016 = 699^2 + 504^2 .

It is not a de Polignac number, because 742617 - 2¹⁰ = 741593 is a prime.

It is an Ulam number.

It is a Duffinian number.

742617 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (742619) 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 in 11 ways as a sum of consecutive naturals, for example, 603 + ... + 1359.

2⁷⁴²⁶¹⁷ is an apocalyptic number.

It is an amenable number.

742617 is a deficient number, since it is larger than the sum of its proper divisors (341323).

742617 is a wasteful number, since it uses less digits than its factorization.

742617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 869 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 742617 is about 861.7522845923. The cubic root of 742617 is about 90.5569170773.

It can be divided in two parts, 7 and 42617, that added together give a palindrome (42624).

The spelling of 742617 in words is "seven hundred forty-two thousand, six hundred seventeen".