61972164337 has 2 divisors, whose sum is σ = 61972164338. Its totient is φ = 61972164336.

The previous prime is 61972164313. The next prime is 61972164341. The reversal of 61972164337 is 73346127916.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47733947361 + 14238216976 = 218481^2 + 119324^2 .

It is a cyclic number.

It is not a de Polignac number, because 61972164337 - 2³⁵ = 27612425969 is a prime.

It is a super-2 number, since 2×61972164337² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61972164347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30986082168 + 30986082169.

It is an arithmetic number, because the mean of its divisors is an integer number (30986082169).

Almost surely, 2^61972164337 is an apocalyptic number.

It is an amenable number.

61972164337 is a deficient number, since it is larger than the sum of its proper divisors (1).

61972164337 is an equidigital number, since it uses as much as digits as its factorization.

61972164337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1143072, while the sum is 49.

The spelling of 61972164337 in words is "sixty-one billion, nine hundred seventy-two million, one hundred sixty-four thousand, three hundred thirty-seven".