497701 has 2 divisors, whose sum is σ = 497702. Its totient is φ = 497700.

The previous prime is 497689. The next prime is 497711. The reversal of 497701 is 107794.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 497025 + 676 = 705^2 + 26^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-497701 is a prime.

It is a Chen prime.

497701 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 497701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (497711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 248850 + 248851.

It is an arithmetic number, because the mean of its divisors is an integer number (248851).

2⁴⁹⁷⁷⁰¹ is an apocalyptic number.

497701 is the 316-th centered decagonal number.

It is an amenable number.

497701 is a deficient number, since it is larger than the sum of its proper divisors (1).

497701 is an equidigital number, since it uses as much as digits as its factorization.

497701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 497701 is about 705.4792697167. The cubic root of 497701 is about 79.2482178412.

It can be divided in two parts, 49 and 7701, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 497701 in words is "four hundred ninety-seven thousand, seven hundred one".