329709997 has 8 divisors (see below), whose sum is σ = 339110936. Its totient is φ = 320334912.

The previous prime is 329709977. The next prime is 329710027. The reversal of 329709997 is 799907923.

It can be written as a sum of positive squares in 4 ways, for example, as 122522761 + 207187236 = 11069^2 + 14394^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 329709997 - 2²³ = 321321389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329709967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21043 + ... + 33199.

It is an arithmetic number, because the mean of its divisors is an integer number (42388867).

Almost surely, 2^329709997 is an apocalyptic number.

329709997 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

329709997 is a deficient number, since it is larger than the sum of its proper divisors (9400939).

329709997 is a wasteful number, since it uses less digits than its factorization.

329709997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12927.

The product of its (nonzero) digits is 1928934, while the sum is 55.

The square root of 329709997 is about 18157.9183002898. The cubic root of 329709997 is about 690.8398350411.

The spelling of 329709997 in words is "three hundred twenty-nine million, seven hundred nine thousand, nine hundred ninety-seven".