413982967 has 2 divisors, whose sum is σ = 413982968. Its totient is φ = 413982966.

The previous prime is 413982931. The next prime is 413982971. The reversal of 413982967 is 769289314.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 413982967 - 2⁷ = 413982839 is a prime.

It is a super-2 number, since 2×413982967² = 342763793932246178, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413982967.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413982067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206991483 + 206991484.

It is an arithmetic number, because the mean of its divisors is an integer number (206991484).

Almost surely, 2^413982967 is an apocalyptic number.

413982967 is a deficient number, since it is larger than the sum of its proper divisors (1).

413982967 is an equidigital number, since it uses as much as digits as its factorization.

413982967 is an evil number, because the sum of its binary digits is even.

The product of its digits is 653184, while the sum is 49.

The square root of 413982967 is about 20346.5713819307. The cubic root of 413982967 is about 745.2937700057.

The spelling of 413982967 in words is "four hundred thirteen million, nine hundred eighty-two thousand, nine hundred sixty-seven".