653713 has 2 divisors, whose sum is σ = 653714. Its totient is φ = 653712.

The previous prime is 653711. The next prime is 653743. The reversal of 653713 is 317356.

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., 565504 + 88209 = 752^2 + 297^2 .

It is a cyclic number.

It is not a de Polignac number, because 653713 - 2¹ = 653711 is a prime.

Together with 653711, it forms a pair of twin primes.

It is equal to p₅₃₀₉₈ and since 653713 and 53098 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (653711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 326856 + 326857.

It is an arithmetic number, because the mean of its divisors is an integer number (326857).

2⁶⁵³⁷¹³ is an apocalyptic number.

It is an amenable number.

653713 is a deficient number, since it is larger than the sum of its proper divisors (1).

653713 is an equidigital number, since it uses as much as digits as its factorization.

653713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1890, while the sum is 25.

The square root of 653713 is about 808.5252005967. The cubic root of 653713 is about 86.7885382729.

The spelling of 653713 in words is "six hundred fifty-three thousand, seven hundred thirteen".