82137997 has 2 divisors, whose sum is σ = 82137998. Its totient is φ = 82137996.

The previous prime is 82137989. The next prime is 82138009. The reversal of 82137997 is 79973128.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47692836 + 34445161 = 6906^2 + 5869^2 .

It is a cyclic number.

It is not a de Polignac number, because 82137997 - 2³ = 82137989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82137967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41068998 + 41068999.

It is an arithmetic number, because the mean of its divisors is an integer number (41068999).

Almost surely, 2^82137997 is an apocalyptic number.

It is an amenable number.

82137997 is a deficient number, since it is larger than the sum of its proper divisors (1).

82137997 is an equidigital number, since it uses as much as digits as its factorization.

82137997 is an evil number, because the sum of its binary digits is even.

The product of its digits is 190512, while the sum is 46.

The square root of 82137997 is about 9063.0015447422. The cubic root of 82137997 is about 434.6917215093.

The spelling of 82137997 in words is "eighty-two million, one hundred thirty-seven thousand, nine hundred ninety-seven".