742057 has 2 divisors, whose sum is σ = 742058. Its totient is φ = 742056.

The previous prime is 742037. The next prime is 742069. The reversal of 742057 is 750247.

742057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404496 + 337561 = 636^2 + 581^2 .

It is a cyclic number.

It is not a de Polignac number, because 742057 - 2⁷ = 741929 is a prime.

742057 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (742037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 371028 + 371029.

It is an arithmetic number, because the mean of its divisors is an integer number (371029).

2⁷⁴²⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

742057 is a deficient number, since it is larger than the sum of its proper divisors (1).

742057 is an equidigital number, since it uses as much as digits as its factorization.

742057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 742057 is about 861.4273039555. The cubic root of 742057 is about 90.5341486668.

The spelling of 742057 in words is "seven hundred forty-two thousand, fifty-seven".