742757 has 2 divisors, whose sum is σ = 742758. Its totient is φ = 742756.

The previous prime is 742723. The next prime is 742759. The reversal of 742757 is 757247.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 481636 + 261121 = 694^2 + 511^2 .

It is an emirp because it is prime and its reverse (757247) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-742757 is a prime.

It is a super-2 number, since 2×742757² = 1103375922098, which contains 22 as substring.

Together with 742759, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₅₉₇₂₉ and since 742757 and 59729 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (742759) 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 as a sum of consecutive naturals, namely, 371378 + 371379.

It is an arithmetic number, because the mean of its divisors is an integer number (371379).

2⁷⁴²⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

742757 is a deficient number, since it is larger than the sum of its proper divisors (1).

742757 is an equidigital number, since it uses as much as digits as its factorization.

742757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13720, while the sum is 32.

The square root of 742757 is about 861.8335106040. The cubic root of 742757 is about 90.5626073913.

The spelling of 742757 in words is "seven hundred forty-two thousand, seven hundred fifty-seven".