705742537 has 2 divisors, whose sum is σ = 705742538. Its totient is φ = 705742536.

The previous prime is 705742529. The next prime is 705742547. The reversal of 705742537 is 735247507.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 649026576 + 56715961 = 25476^2 + 7531^2 .

It is an emirp because it is prime and its reverse (735247507) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 705742537 - 2³ = 705742529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 705742537.

It is not a weakly prime, because it can be changed into another prime (705742547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352871268 + 352871269.

It is an arithmetic number, because the mean of its divisors is an integer number (352871269).

Almost surely, 2^705742537 is an apocalyptic number.

It is an amenable number.

705742537 is a deficient number, since it is larger than the sum of its proper divisors (1).

705742537 is an equidigital number, since it uses as much as digits as its factorization.

705742537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 205800, while the sum is 40.

The square root of 705742537 is about 26565.8151954725. The cubic root of 705742537 is about 890.3254026207.

It can be divided in two parts, 7057 and 42537, that added together give a palindrome (49594).

The spelling of 705742537 in words is "seven hundred five million, seven hundred forty-two thousand, five hundred thirty-seven".