701257 has 2 divisors, whose sum is σ = 701258. Its totient is φ = 701256.

The previous prime is 701227. The next prime is 701279. The reversal of 701257 is 752107.

701257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (701279) can be obtained adding 701257 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 383161 + 318096 = 619^2 + 564^2 .

It is an emirp because it is prime and its reverse (752107) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-701257 is a prime.

It is a super-3 number, since 3×701257³ = 1034553330267064779, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an Ulam number.

It is a nialpdrome in base 15.

It is not a weakly prime, because it can be changed into another prime (701227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 350628 + 350629.

It is an arithmetic number, because the mean of its divisors is an integer number (350629).

2⁷⁰¹²⁵⁷ is an apocalyptic number.

It is an amenable number.

701257 is a deficient number, since it is larger than the sum of its proper divisors (1).

701257 is an equidigital number, since it uses as much as digits as its factorization.

701257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 701257 is about 837.4108907818. The cubic root of 701257 is about 88.8435157901.

It can be divided in two parts, 70 and 1257, that multiplied together give a triangular number (87990 = T₄₁₉).

The spelling of 701257 in words is "seven hundred one thousand, two hundred fifty-seven".