364993 has 2 divisors, whose sum is σ = 364994. Its totient is φ = 364992.

The previous prime is 364979. The next prime is 364997. The reversal of 364993 is 399463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 258064 + 106929 = 508^2 + 327^2 .

It is a cyclic number.

It is not a de Polignac number, because 364993 - 2⁵ = 364961 is a prime.

364993 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (364997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 182496 + 182497.

It is an arithmetic number, because the mean of its divisors is an integer number (182497).

2³⁶⁴⁹⁹³ is an apocalyptic number.

It is an amenable number.

364993 is a deficient number, since it is larger than the sum of its proper divisors (1).

364993 is an equidigital number, since it uses as much as digits as its factorization.

364993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17496, while the sum is 34.

The square root of 364993 is about 604.1465054107. The cubic root of 364993 is about 71.4652381269.

The spelling of 364993 in words is "three hundred sixty-four thousand, nine hundred ninety-three".