406993 has 2 divisors, whose sum is σ = 406994. Its totient is φ = 406992.

The previous prime is 406981. The next prime is 407023. The reversal of 406993 is 399604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 399424 + 7569 = 632^2 + 87^2 .

It is a cyclic number.

It is not a de Polignac number, because 406993 - 2⁹ = 406481 is a prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (406093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203496 + 203497.

It is an arithmetic number, because the mean of its divisors is an integer number (203497).

2⁴⁰⁶⁹⁹³ is an apocalyptic number.

It is an amenable number.

406993 is a deficient number, since it is larger than the sum of its proper divisors (1).

406993 is an equidigital number, since it uses as much as digits as its factorization.

406993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 406993 is about 637.9600300959. The cubic root of 406993 is about 74.1075256905.

The spelling of 406993 in words is "four hundred six thousand, nine hundred ninety-three".