40006313 has 2 divisors, whose sum is σ = 40006314. Its totient is φ = 40006312.

The previous prime is 40006277. The next prime is 40006319. The reversal of 40006313 is 31360004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39100009 + 906304 = 6253^2 + 952^2 .

It is a cyclic number.

It is not a de Polignac number, because 40006313 - 2²⁴ = 23229097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40006291 and 40006300.

It is not a weakly prime, because it can be changed into another prime (40006319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20003156 + 20003157.

It is an arithmetic number, because the mean of its divisors is an integer number (20003157).

Almost surely, 2^40006313 is an apocalyptic number.

It is an amenable number.

40006313 is a deficient number, since it is larger than the sum of its proper divisors (1).

40006313 is an equidigital number, since it uses as much as digits as its factorization.

40006313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 40006313 is about 6325.0543871179. The cubic root of 40006313 is about 342.0131801858.

Adding to 40006313 its reverse (31360004), we get a palindrome (71366317).

The spelling of 40006313 in words is "forty million, six thousand, three hundred thirteen".