82137961 has 2 divisors, whose sum is σ = 82137962. Its totient is φ = 82137960.

The previous prime is 82137943. The next prime is 82137967. The reversal of 82137961 is 16973128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61152400 + 20985561 = 7820^2 + 4581^2 .

It is a cyclic number.

It is not a de Polignac number, because 82137961 - 2¹¹ = 82135913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82137961.

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, 41068980 + 41068981.

It is an arithmetic number, because the mean of its divisors is an integer number (41068981).

Almost surely, 2^82137961 is an apocalyptic number.

It is an amenable number.

82137961 is a deficient number, since it is larger than the sum of its proper divisors (1).

82137961 is an equidigital number, since it uses as much as digits as its factorization.

82137961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18144, while the sum is 37.

The square root of 82137961 is about 9062.9995586450. Note that the first 3 decimals coincide. The cubic root of 82137961 is about 434.6916580028.

The spelling of 82137961 in words is "eighty-two million, one hundred thirty-seven thousand, nine hundred sixty-one".