653461 has 2 divisors, whose sum is σ = 653462. Its totient is φ = 653460.

The previous prime is 653431. The next prime is 653473. The reversal of 653461 is 164356.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 367236 + 286225 = 606^2 + 535^2 .

It is a cyclic number.

It is not a de Polignac number, because 653461 - 2¹⁵ = 620693 is a prime.

It is a super-2 number, since 2×653461² = 854022557042, which contains 22 as substring.

653461 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (653431) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 326730 + 326731.

It is an arithmetic number, because the mean of its divisors is an integer number (326731).

2⁶⁵³⁴⁶¹ is an apocalyptic number.

It is an amenable number.

653461 is a deficient number, since it is larger than the sum of its proper divisors (1).

653461 is an equidigital number, since it uses as much as digits as its factorization.

653461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 25.

The square root of 653461 is about 808.3693462768. The cubic root of 653461 is about 86.7773847940. Note that the first 3 decimals are identical.

The spelling of 653461 in words is "six hundred fifty-three thousand, four hundred sixty-one".