75967 has 2 divisors, whose sum is σ = 75968. Its totient is φ = 75966.

The previous prime is 75941. The next prime is 75979. The reversal of 75967 is 76957.

75967 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75967 is a prime.

75967 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (75937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37983 + 37984.

It is an arithmetic number, because the mean of its divisors is an integer number (37984).

2⁷⁵⁹⁶⁷ is an apocalyptic number.

75967 is a deficient number, since it is larger than the sum of its proper divisors (1).

75967 is an equidigital number, since it uses as much as digits as its factorization.

75967 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13230, while the sum is 34.

The square root of 75967 is about 275.6211167527. The cubic root of 75967 is about 42.3521041577.

Subtracting 75967 from its reverse (76957), we obtain a triangular number (990 = T₄₄).

The spelling of 75967 in words is "seventy-five thousand, nine hundred sixty-seven".