653537 has 2 divisors, whose sum is σ = 653538. Its totient is φ = 653536.

The previous prime is 653519. The next prime is 653539. The reversal of 653537 is 735356.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 341056 + 312481 = 584^2 + 559^2 .

It is a cyclic number.

It is not a de Polignac number, because 653537 - 2⁶ = 653473 is a prime.

It is a super-2 number, since 2×653537² = 854221220738, which contains 22 as substring.

Together with 653539, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653537.

It is not a weakly prime, because it can be changed into another prime (653539) 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, 326768 + 326769.

It is an arithmetic number, because the mean of its divisors is an integer number (326769).

2⁶⁵³⁵³⁷ is an apocalyptic number.

It is an amenable number.

653537 is a deficient number, since it is larger than the sum of its proper divisors (1).

653537 is an equidigital number, since it uses as much as digits as its factorization.

653537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9450, while the sum is 29.

The square root of 653537 is about 808.4163531250. The cubic root of 653537 is about 86.7807488435.

The spelling of 653537 in words is "six hundred fifty-three thousand, five hundred thirty-seven".