742509 has 24 divisors (see below), whose sum is σ = 1190592. Its totient is φ = 443520.

The previous prime is 742507. The next prime is 742513. The reversal of 742509 is 905247.

It is not a de Polignac number, because 742509 - 2¹ = 742507 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742507) 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 23 ways as a sum of consecutive naturals, for example, 3414 + ... + 3624.

It is an arithmetic number, because the mean of its divisors is an integer number (49608).

2⁷⁴²⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

742509 is a deficient number, since it is larger than the sum of its proper divisors (448083).

742509 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (742508) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (257).

742509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 742509 is about 861.6896192946. The cubic root of 742509 is about 90.5525269178.

The spelling of 742509 in words is "seven hundred forty-two thousand, five hundred nine".