742657 has 2 divisors, whose sum is σ = 742658. Its totient is φ = 742656.

The previous prime is 742619. The next prime is 742663. The reversal of 742657 is 756247.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 410881 + 331776 = 641^2 + 576^2 .

It is an emirp because it is prime and its reverse (756247) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-742657 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (742607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 371328 + 371329.

It is an arithmetic number, because the mean of its divisors is an integer number (371329).

2⁷⁴²⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

742657 is a deficient number, since it is larger than the sum of its proper divisors (1).

742657 is an equidigital number, since it uses as much as digits as its factorization.

742657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11760, while the sum is 31.

The square root of 742657 is about 861.7754928054. The cubic root of 742657 is about 90.5585429543.

The spelling of 742657 in words is "seven hundred forty-two thousand, six hundred fifty-seven".