716257 has 2 divisors, whose sum is σ = 716258. Its totient is φ = 716256.

The previous prime is 716249. The next prime is 716279. The reversal of 716257 is 752617.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 398161 + 318096 = 631^2 + 564^2 .

It is a cyclic number.

It is not a de Polignac number, because 716257 - 2³ = 716249 is a prime.

716257 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (716857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 358128 + 358129.

It is an arithmetic number, because the mean of its divisors is an integer number (358129).

2⁷¹⁶²⁵⁷ is an apocalyptic number.

It is an amenable number.

716257 is a deficient number, since it is larger than the sum of its proper divisors (1).

716257 is an equidigital number, since it uses as much as digits as its factorization.

716257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2940, while the sum is 28.

The square root of 716257 is about 846.3196795538. The cubic root of 716257 is about 89.4725111423.

Subtracting from 716257 its product of digits (2940), we obtain a palindrome (713317).

It can be divided in two parts, 71 and 6257, that added together give a triangular number (6328 = T₁₁₂).

The spelling of 716257 in words is "seven hundred sixteen thousand, two hundred fifty-seven".