653993 has 2 divisors, whose sum is σ = 653994. Its totient is φ = 653992.

The previous prime is 653977. The next prime is 654001. The reversal of 653993 is 399356.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 582169 + 71824 = 763^2 + 268^2 .

It is a cyclic number.

It is not a de Polignac number, because 653993 - 2⁴ = 653977 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (653903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 326996 + 326997.

It is an arithmetic number, because the mean of its divisors is an integer number (326997).

2⁶⁵³⁹⁹³ is an apocalyptic number.

It is an amenable number.

653993 is a deficient number, since it is larger than the sum of its proper divisors (1).

653993 is an equidigital number, since it uses as much as digits as its factorization.

653993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 21870, while the sum is 35.

The square root of 653993 is about 808.6983368352. The cubic root of 653993 is about 86.8009276660.

The spelling of 653993 in words is "six hundred fifty-three thousand, nine hundred ninety-three".