82137967 has 2 divisors, whose sum is σ = 82137968. Its totient is φ = 82137966.

The previous prime is 82137961. The next prime is 82137973. The reversal of 82137967 is 76973128.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (82137961) and next prime (82137973).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82137967 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82137961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41068983 + 41068984.

It is an arithmetic number, because the mean of its divisors is an integer number (41068984).

Almost surely, 2^82137967 is an apocalyptic number.

82137967 is a deficient number, since it is larger than the sum of its proper divisors (1).

82137967 is an equidigital number, since it uses as much as digits as its factorization.

82137967 is an evil number, because the sum of its binary digits is even.

The product of its digits is 127008, while the sum is 43.

The square root of 82137967 is about 9062.9998896613. Note that the first 3 decimals coincide. The cubic root of 82137967 is about 434.6916685872.

The spelling of 82137967 in words is "eighty-two million, one hundred thirty-seven thousand, nine hundred sixty-seven".