329813137 has 2 divisors, whose sum is σ = 329813138. Its totient is φ = 329813136.

The previous prime is 329813129. The next prime is 329813149. The reversal of 329813137 is 731318923.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 249513616 + 80299521 = 15796^2 + 8961^2 .

It is a cyclic number.

It is not a de Polignac number, because 329813137 - 2³ = 329813129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 329813096 and 329813105.

It is not a weakly prime, because it can be changed into another prime (329853137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164906568 + 164906569.

It is an arithmetic number, because the mean of its divisors is an integer number (164906569).

Almost surely, 2^329813137 is an apocalyptic number.

It is an amenable number.

329813137 is a deficient number, since it is larger than the sum of its proper divisors (1).

329813137 is an equidigital number, since it uses as much as digits as its factorization.

329813137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27216, while the sum is 37.

The square root of 329813137 is about 18160.7581614865. The cubic root of 329813137 is about 690.9118637863.

The spelling of 329813137 in words is "three hundred twenty-nine million, eight hundred thirteen thousand, one hundred thirty-seven".